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angular frequency = square root (K/m) wher k is spring constant and m = mass
linear frequency = 1/2pi Times Square root (K/m)
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Is the spring constant is constant on the moon?
no the spring constant is not constant on moon because there is no restoring force there
What is the spring constant of a spring?
The ratio of force applied to how much the spring streches (or compresses). In the SI, the spring constant would be expressed in Newtons/meter. A larger spring constant means the spring is "stiffer" - more force is required to stretch it a certain amount.
How does length of spring coil affect the force constant?
The force constant is unaffected; It is a constant.
What is the formula to find the spring constant?
F = - k x In this equation, x is the distance that the spring has been stretched or compressed away from its equilibrium position F is the restoring force exerted by the spring. k is the spring constant.
What is the physical meaning of a spring constant?
It means how "stiff" the spring is; how hard it is to compress or extend it.
What is the relationship between the angular frequency (w) and the square root of the spring constant (k) divided by the mass (m)?
The relationship between the angular frequency (w) and the square root of the spring constant (k) divided by the mass (m) is that they are directly proportional. This means that as the angular frequency increases, the square root of the spring constant divided by the mass also increases.
What is the angular frequency formula for a spring system?
The angular frequency formula for a spring system is (k/m), where represents the angular frequency, k is the spring constant, and m is the mass of the object attached to the spring.
What is the relationship between the angular frequency of a spring and its oscillation behavior?
The angular frequency of a spring is directly related to its oscillation behavior. A higher angular frequency means the spring will oscillate more quickly, while a lower angular frequency results in slower oscillations. This relationship is described by Hooke's Law, which states that the angular frequency is proportional to the square root of the spring constant divided by the mass of the object attached to the spring.
What is the formula for calculating the angular frequency () of a system in terms of the mass (m) and the spring constant (k)?
The formula for calculating the angular frequency () of a system in terms of the mass (m) and the spring constant (k) is (k/m).
Does the spring constant depend on applied force or elongation?
The spring constant is a characteristic of the spring itself and represents its stiffness, regardless of the applied force or elongation. It is a constant value for a particular spring and is not influenced by external factors such as the amount of force applied or the degree of elongation.
Does frequency depend on amplitude for harmonic oscillators?
No, the frequency of a harmonic oscillator does not depend on its amplitude. The frequency is determined by the properties of the system, such as mass and spring constant, and remains constant regardless of the amplitude of the oscillation.
What is the angular frequency in terms of k and m when finding the oscillation of a spring-mass system?
The angular frequency () in a spring-mass system is calculated using the formula (k/m), where k is the spring constant and m is the mass of the object attached to the spring.
A frequency of vibration of a mass-spring system is 5Hz when a 4g mass is attached to the spring .Calculate the forces constant of the spring?
To calculate the force constant of the spring (k), you can use the formula for the frequency of vibration of a mass-spring system: f = 1 / (2π) * √(k / m) where f is the frequency, k is the force constant of the spring, and m is the mass. Rearranging the formula gives: k = (4π^2 * m * f^2). Plugging in the given values: k = (4π^2 * 0.004 * 5^2) ≈ 1.256 N/m.
How to find the spring constant from a graph of force versus displacement?
To find the spring constant from a graph of force versus displacement, you can calculate the slope of the line. The spring constant is equal to the slope of the line, which represents the relationship between force and displacement. The formula for the spring constant is k F/x, where k is the spring constant, F is the force applied, and x is the displacement. By determining the slope of the line on the graph, you can find the spring constant.
What is the relation between force and extension?
The relation between force and extension is described by Hooke's Law, which states that the force applied on an elastic material is directly proportional to the extension or compression produced in the material. Mathematically, this can be expressed as F = kx, where F is the force applied, k is the spring constant, and x is the extension or compression.
Is the spring constant is constant on the moon?
no the spring constant is not constant on moon because there is no restoring force there
What are the uses of spring balance?
A spring balance is a weighing device that utilizes the relation between the applied load and the deformation of a spring. It is widely used commercially.
