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.
