Define force constant

A law in physics stating that the extent to which an elastic material will change size and shape under stress is directly proportional to the amount of stress applied to it. If a spring is stretched to a length of 6 inches (15.2 centimeters) by a force of 1 newton, for example, it will be stretched to a length of 12 inches (30.4 centimeters) by a force of 2 newtons. where [x.sub.1] is the linear displacement, [x.sub.2] is the linear velocity, u(t) is the input voltage, R is the resistance, m is the motor mass, [k.sub.f] is the force constant, [k.sub.e] is the back electromotive force, and d(t) can be counted as the lumped disturbances including the friction and ripple force. So far, there are three types of safety factors [2, 3,19]: (1) the strength reserve factor of safety obtained through lowering the strength of rock and soil mass; (2) the overload reserve factor of safety obtained through increasing the exterior load; (3) the driving force overloading reserve factor, a design value of landslide thrust calculated through amplifying the driving force along the slope while keeping the corresponding resisting force constant. The limit equilibrium method mainly adopts the concept of the strength reserve factor.

Introduction: In physics, force constant is an alternative term for a spring constant, as defined by Hooke’s law. This law is a law of physics and is defined as the force required for the extension or compression of a spring by a distance x, varies directly (linearly) concerning that distance, that is, Fs = kx, where k is spring constant and is a characteristic of the spring and x is compression of the spring. Body : What is Force Constant? As per Hooke’s law, the force required in the compression or enlargement of spring is directionally related or proportional to the distance it is stretched. Force Constant is represented as K. The dimension of force constant can be found using the spring force formula i.e F = – Kx. It gives k = – F/x. The force constant unit (SI) is N.m⁻¹. In the above force constant formula: • F is the restoring force of the spring which is directed towards equilibrium • K is the spring/force constant in (N/m) • x is the displacement of spring from its equilibrium state • The negative sign here denotes that the restoring force here is opposite to the displacement Alternatively, force constant is stated as the force exerted if the displacement is unity in the spring. If force F is considered, that stretches the spring so that it displaces from the equilibrium position by x. Hooke’s equation (force constant equation) holds in many other situations where an elastic body is deformed, such as a wind blowing on a tall building, and a musician plucking a stri...

• Sciencing_Icons_Atomic & Molecular Structure Atomic & Molecular Structure • Sciencing_Icons_Bonds Bonds • Sciencing_Icons_Reactions Reactions • Sciencing_Icons_Stoichiometry Stoichiometry • Sciencing_Icons_Solutions Solutions • Sciencing_Icons_Acids & Bases Acids & Bases • Sciencing_Icons_Thermodynamics Thermodynamics • Sciencing_Icons_Organic Chemistry Organic Chemistry • Sciencing_Icons_Physics Physics • Sciencing_Icons_Working with Units Working With Units • Sciencing_Icons_Equations & Expressions Equations & Expressions • Sciencing_Icons_Ratios & Proportions Ratios & Proportions • Sciencing_Icons_Inequalities Inequalities • Sciencing_Icons_Exponents & Logarithms Exponents & Logarithms • Sciencing_Icons_Factorization Factorization • Sciencing_Icons_Functions Functions • Sciencing_Icons_Linear Equations Linear Equations • Sciencing_Icons_Graphs Graphs • Sciencing_Icons_Quadratics Quadratics • Sciencing_Icons_Polynomials Polynomials • Sciencing_Icons_Geometry Geometry • Sciencing_Icons_Mean-Median-Mode Mean/Median/Mode • Sciencing_Icons_Independent-Dependent Variables Independent/Dependent Variables • Sciencing_Icons_Deviation Deviation • Sciencing_Icons_Correlation Correlation • Sciencing_Icons_Sampling Sampling • Sciencing_Icons_Distributions Distributions • Sciencing_Icons_Probability Probability • Sciencing_Icons_Calculus Calculus • Sciencing_Icons_Differentiation-Integration Differentiation/Integration • Sciencing_Icons_Application Application •...

It is important to understand that the centripetal force is not a net force which causes an object to move in a circular path. The tension force in the string of a swinging tethered ball and the gravitational force keeping a satellite in orbit are both examples of centripetal forces. Multiple individual forces can even be involved as long as they add up (by vector addition) to give a net force towards the center of the circular path. One apparatus that clearly illustrates the centripetal force consists of a tethered mass ( m 1 m_1 m 1 ​ m, start subscript, 1, end subscript ) swung in a horizontal circle by a lightweight string which passes through a vertical tube to a counterweight ( m 2 m_2 m 2 ​ m, start subscript, 2, end subscript ) as shown in Figure 1. Exercise 1: If m 1 m_1 m 1 ​ m, start subscript, 1, end subscript is a 1 k g 1~\mathrm m 2 ​ = 4 k g m, start subscript, 2, end subscript, equals, 4, space, k, g what is the angular velocity assuming neither mass is moving vertically and there is minimal friction between the string and tube? Exercise 2: A car turns a corner on a level street at a speed of 10 m/s 10 \text 1 5 m 15, start text, space, m, end text . What is the minimum coefficient of static friction between the tires and the ground for this car to make the turn without slipping? With physics problems, they do this 'massless string approximation' where you ignore the mass of the string (since in most cases it is much smaller than the masses attached) and so...

• Afrikaans • Alemannisch • አማርኛ • العربية • Asturianu • Azərbaycanca • বাংলা • Беларуская • Беларуская (тарашкевіца) • Български • Català • Чӑвашла • Čeština • Dansk • Deutsch • Eesti • Ελληνικά • Español • Esperanto • Euskara • فارسی • Français • Gaeilge • Galego • 한국어 • Հայերեն • हिन्दी • Hrvatski • Bahasa Indonesia • Íslenska • Italiano • עברית • ქართული • Қазақша • Kreyòl ayisyen • Kurdî • Кыргызча • Latviešu • Lietuvių • Magyar • Македонски • മലയാളം • Bahasa Melayu • Монгол • မြန်မာဘာသာ • Nederlands • नेपाली • 日本語 • Norsk bokmål • Norsk nynorsk • Oʻzbekcha / ўзбекча • ਪੰਜਾਬੀ • پنجابی • ភាសាខ្មែរ • Piemontèis • Polski • Português • Română • Русский • Shqip • Simple English • Slovenčina • Slovenščina • Српски / srpski • Srpskohrvatski / српскохрватски • Suomi • Svenska • Tagalog • தமிழ் • Татарча / tatarça • Türkçe • Українська • اردو • Tiếng Việt • 文言 • 吴语 • 粵語 • 中文 • v • t • e Coulomb's inverse-square law, or simply Coulomb's law, is an experimental electrostatic force or Coulomb force. The law states that the magnitude, or absolute value, of the attractive or repulsive electrostatic It follows therefore from these three tests, that the repulsive force that the two balls – [that were] electrified with the same kind of electricity – exert on each other, follows the inverse proportion of the square of the distance. Coulomb also showed that oppositely charged bodies attract according to an inverse-square law: | F | = k e | q 1 | | q 2 | r 2 Here, k e is the k e ≈ 8.988...

• Afrikaans • Alemannisch • አማርኛ • العربية • Asturianu • Azərbaycanca • বাংলা • Беларуская • Беларуская (тарашкевіца) • Български • Català • Чӑвашла • Čeština • Dansk • Deutsch • Eesti • Ελληνικά • Español • Esperanto • Euskara • فارسی • Français • Gaeilge • Galego • 한국어 • Հայերեն • हिन्दी • Hrvatski • Bahasa Indonesia • Íslenska • Italiano • עברית • ქართული • Қазақша • Kreyòl ayisyen • Kurdî • Кыргызча • Latviešu • Lietuvių • Magyar • Македонски • മലയാളം • Bahasa Melayu • Монгол • မြန်မာဘာသာ • Nederlands • नेपाली • 日本語 • Norsk bokmål • Norsk nynorsk • Oʻzbekcha / ўзбекча • ਪੰਜਾਬੀ • پنجابی • ភាសាខ្មែរ • Piemontèis • Polski • Português • Română • Русский • Shqip • Simple English • Slovenčina • Slovenščina • Српски / srpski • Srpskohrvatski / српскохрватски • Suomi • Svenska • Tagalog • தமிழ் • Татарча / tatarça • Türkçe • Українська • اردو • Tiếng Việt • 文言 • 吴语 • 粵語 • 中文 • v • t • e Coulomb's inverse-square law, or simply Coulomb's law, is an experimental electrostatic force or Coulomb force. The law states that the magnitude, or absolute value, of the attractive or repulsive electrostatic It follows therefore from these three tests, that the repulsive force that the two balls – [that were] electrified with the same kind of electricity – exert on each other, follows the inverse proportion of the square of the distance. Coulomb also showed that oppositely charged bodies attract according to an inverse-square law: | F | = k e | q 1 | | q 2 | r 2 Here, k e is the k e ≈ 8.988...

• Sciencing_Icons_Atomic & Molecular Structure Atomic & Molecular Structure • Sciencing_Icons_Bonds Bonds • Sciencing_Icons_Reactions Reactions • Sciencing_Icons_Stoichiometry Stoichiometry • Sciencing_Icons_Solutions Solutions • Sciencing_Icons_Acids & Bases Acids & Bases • Sciencing_Icons_Thermodynamics Thermodynamics • Sciencing_Icons_Organic Chemistry Organic Chemistry • Sciencing_Icons_Physics Physics • Sciencing_Icons_Working with Units Working With Units • Sciencing_Icons_Equations & Expressions Equations & Expressions • Sciencing_Icons_Ratios & Proportions Ratios & Proportions • Sciencing_Icons_Inequalities Inequalities • Sciencing_Icons_Exponents & Logarithms Exponents & Logarithms • Sciencing_Icons_Factorization Factorization • Sciencing_Icons_Functions Functions • Sciencing_Icons_Linear Equations Linear Equations • Sciencing_Icons_Graphs Graphs • Sciencing_Icons_Quadratics Quadratics • Sciencing_Icons_Polynomials Polynomials • Sciencing_Icons_Geometry Geometry • Sciencing_Icons_Mean-Median-Mode Mean/Median/Mode • Sciencing_Icons_Independent-Dependent Variables Independent/Dependent Variables • Sciencing_Icons_Deviation Deviation • Sciencing_Icons_Correlation Correlation • Sciencing_Icons_Sampling Sampling • Sciencing_Icons_Distributions Distributions • Sciencing_Icons_Probability Probability • Sciencing_Icons_Calculus Calculus • Sciencing_Icons_Differentiation-Integration Differentiation/Integration • Sciencing_Icons_Application Application •...

Introduction: In physics, force constant is an alternative term for a spring constant, as defined by Hooke’s law. This law is a law of physics and is defined as the force required for the extension or compression of a spring by a distance x, varies directly (linearly) concerning that distance, that is, Fs = kx, where k is spring constant and is a characteristic of the spring and x is compression of the spring. Body : What is Force Constant? As per Hooke’s law, the force required in the compression or enlargement of spring is directionally related or proportional to the distance it is stretched. Force Constant is represented as K. The dimension of force constant can be found using the spring force formula i.e F = – Kx. It gives k = – F/x. The force constant unit (SI) is N.m⁻¹. In the above force constant formula: • F is the restoring force of the spring which is directed towards equilibrium • K is the spring/force constant in (N/m) • x is the displacement of spring from its equilibrium state • The negative sign here denotes that the restoring force here is opposite to the displacement Alternatively, force constant is stated as the force exerted if the displacement is unity in the spring. If force F is considered, that stretches the spring so that it displaces from the equilibrium position by x. Hooke’s equation (force constant equation) holds in many other situations where an elastic body is deformed, such as a wind blowing on a tall building, and a musician plucking a stri...

It is important to understand that the centripetal force is not a net force which causes an object to move in a circular path. The tension force in the string of a swinging tethered ball and the gravitational force keeping a satellite in orbit are both examples of centripetal forces. Multiple individual forces can even be involved as long as they add up (by vector addition) to give a net force towards the center of the circular path. One apparatus that clearly illustrates the centripetal force consists of a tethered mass ( m 1 m_1 m 1 ​ m, start subscript, 1, end subscript ) swung in a horizontal circle by a lightweight string which passes through a vertical tube to a counterweight ( m 2 m_2 m 2 ​ m, start subscript, 2, end subscript ) as shown in Figure 1. Exercise 1: If m 1 m_1 m 1 ​ m, start subscript, 1, end subscript is a 1 k g 1~\mathrm m 2 ​ = 4 k g m, start subscript, 2, end subscript, equals, 4, space, k, g what is the angular velocity assuming neither mass is moving vertically and there is minimal friction between the string and tube? Exercise 2: A car turns a corner on a level street at a speed of 10 m/s 10 \text 1 5 m 15, start text, space, m, end text . What is the minimum coefficient of static friction between the tires and the ground for this car to make the turn without slipping? With physics problems, they do this 'massless string approximation' where you ignore the mass of the string (since in most cases it is much smaller than the masses attached) and so...

A law in physics stating that the extent to which an elastic material will change size and shape under stress is directly proportional to the amount of stress applied to it. If a spring is stretched to a length of 6 inches (15.2 centimeters) by a force of 1 newton, for example, it will be stretched to a length of 12 inches (30.4 centimeters) by a force of 2 newtons. where [x.sub.1] is the linear displacement, [x.sub.2] is the linear velocity, u(t) is the input voltage, R is the resistance, m is the motor mass, [k.sub.f] is the force constant, [k.sub.e] is the back electromotive force, and d(t) can be counted as the lumped disturbances including the friction and ripple force. So far, there are three types of safety factors [2, 3,19]: (1) the strength reserve factor of safety obtained through lowering the strength of rock and soil mass; (2) the overload reserve factor of safety obtained through increasing the exterior load; (3) the driving force overloading reserve factor, a design value of landslide thrust calculated through amplifying the driving force along the slope while keeping the corresponding resisting force constant. The limit equilibrium method mainly adopts the concept of the strength reserve factor.