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How time period depends upon spring constant?
The time period of a simple harmonic oscillator is inversely proportional to the square root of the spring constant. This means that as the spring constant increases, the time period decreases. Mathematically, the equation for the time period of a simple harmonic oscillator is T = 2π√(m/k), where T is the time period, m is the mass attached to the spring, and k is the spring constant.
How to increase the value of period oscillation?
To increase the value of period oscillation, you can either increase the mass of the object or decrease the spring constant of the spring. Both of these changes will affect the period of oscillation according to the equation T = 2π√(m/k), where T is the period, m is the mass, and k is the spring constant.
What is the equation for the period of harmonic motion?
The equation for the period of harmonic motion is T = 2π√(m/k), where T is the period, m is the mass of the object, and k is the spring constant.
A force of magnitude 40.1 N stretches a vertical spring a distance 0.251 m. What mass must be suspended from the spring so that the system will oscillate with a period of 1.06 s?
To determine the mass required for the spring-mass system to oscillate with a period of 1.06 s, you can use the equation T = 2π√(m/k) where T is the period, m is the mass, and k is the spring constant. In this case, you can calculate the spring constant k using Hooke's Law: F = kx, where F is the force (40.1 N) and x is the distance the spring is stretched (0.251 m). Then, substitute the values into the period equation to solve for the mass m.
How does the amplitude of a spring affect its period?
The amplitude of a spring does not affect its period. The period of a spring is determined by its mass and spring constant.
How time period depends upon spring constant?
The time period of a simple harmonic oscillator is inversely proportional to the square root of the spring constant. This means that as the spring constant increases, the time period decreases. Mathematically, the equation for the time period of a simple harmonic oscillator is T = 2π√(m/k), where T is the time period, m is the mass attached to the spring, and k is the spring constant.
How to increase the value of period oscillation?
To increase the value of period oscillation, you can either increase the mass of the object or decrease the spring constant of the spring. Both of these changes will affect the period of oscillation according to the equation T = 2π√(m/k), where T is the period, m is the mass, and k is the spring constant.
What is the equation for the period of harmonic motion?
The equation for the period of harmonic motion is T = 2π√(m/k), where T is the period, m is the mass of the object, and k is the spring constant.
A force of magnitude 40.1 N stretches a vertical spring a distance 0.251 m. What mass must be suspended from the spring so that the system will oscillate with a period of 1.06 s?
To determine the mass required for the spring-mass system to oscillate with a period of 1.06 s, you can use the equation T = 2π√(m/k) where T is the period, m is the mass, and k is the spring constant. In this case, you can calculate the spring constant k using Hooke's Law: F = kx, where F is the force (40.1 N) and x is the distance the spring is stretched (0.251 m). Then, substitute the values into the period equation to solve for the mass m.
How does the amplitude of a spring affect its period?
The amplitude of a spring does not affect its period. The period of a spring is determined by its mass and spring constant.
What is the period formula for a spring?
The period formula for a spring is T 2(m/k), where T is the period, m is the mass attached to the spring, and k is the spring constant.
What factors influence the period of a spring?
The period of a spring is influenced by factors such as the mass attached to the spring, the spring constant, and the amplitude of the oscillation.
What is the equation for period?
The period of a wave is the reciprocal of the frequency. ( '1' divided by the frequency)
How does the spring constant affect the period of oscillation in a spring-mass system?
The spring constant affects the period of oscillation in a spring-mass system by determining how stiff or flexible the spring is. A higher spring constant results in a shorter period of oscillation, while a lower spring constant leads to a longer period of oscillation.
How does mass affect the period of a spring?
The period of a spring is not affected by its mass. The period of a spring is determined by its stiffness and the force applied to it, not by the mass of the object attached to it.
What is the spring displacement equation used to calculate the distance a spring is stretched or compressed from its equilibrium position?
The spring displacement equation is given by x F/k, where x is the distance the spring is stretched or compressed from its equilibrium position, F is the force applied to the spring, and k is the spring constant.
What is the equation for the work done by a spring?
The equation for the work done by a spring is W 0.5 k x2, where W is the work done, k is the spring constant, and x is the displacement from the equilibrium position.
