A stronger spring-with a larger value of k-will move the same mass more quickly for a smaller period. As the spring constant k increases, the period decreases . ... For a given mass, that means a greater acceleration so the mass will move faster and, therefore, complete its motion quicker or in a shorter period.
What is the effect of quadrupling the length?
Doubling the length of a pendulum increases the period, so it decreases the frequency of the pendulum . The frequency depends upon the square root of the length, so the frequency decreases by a factor of .
What happens when you increase the spring constant?
A stronger spring-with a larger value of k-will move the same mass more quickly for a smaller period. As the spring constant k increases, the period decreases . ... For a given mass, that means a greater acceleration so the mass will move faster and, therefore, complete its motion quicker or in a shorter period.
How does spring constant affect frequency?
The natural resonant frequency of the oscillator can be changed by changing either the spring constant or the oscillating mass. Using a stiffer spring would increase the frequency of the oscillating system. ... The period is inversely proportional to the linear frequency.
What happens to the period of a mass oscillating on a spring when the spring constant quadruples?
The period is inversely proportional to the square root of the spring constant, T=2pisqrt(m/k), so the period will decrease with a bigger spring constant.
What factors affect spring constant?
- Wire diameter: the diameter of the wire comprising the spring.
- Coil diameter: the diameter of each coil, measuring the tightness of the coil.
- Free length: the length of the spring when at rest.
Does spring constant depend on mass?
Since k is the spring constant it doesn’t depend on the mass of the object attached to it, but here m signifies the mass of the object.
What happens if you double the length of a pendulum?
a) If the length is doubled, the period will increase by a factor of √2 . Doubling the mass of the bob will half the period. ... The mass of the bob will not effect the period. c) The length of the pendulum will not affect the pendulum.
What is the length of a pendulum with a period of 1 second?
Answer: A simple pendulum with a period of 1 second will have a length of 0.25 meters or 25 centimeters.
Does spring constant change?
One of the smaller springs will have a spring constant which is twice the original. That is because the spring constant and the length of the spring are inversely proportional .
What is unit of spring constant?
The rate or spring constant, k, relates the force to the extension in SI units: N/m or kg/s2 .
Is spring force constant?
The force exerted by a spring on objects attached to its ends is proportional to the spring’s change in length away from its equilibrium length and is always directed towards its equilibrium position. ... The proportional constant k is called the spring constant.
What happens to the period of the spring constant is doubled?
A mass m hanging on a string with a spring constant k has simple harmonic motion with a period T. ... Thus, if the mass is doubled, the period increases by a factor of √2 . A mass hanging from a spring is pulled down from its equilibrium position through a distance A and then released at t = 0.
How does mass affect period of a spring?
Mass on a Spring
A stiffer spring with a constant mass decreases the period of oscillation . Increasing the mass increases the period of oscillation.
