Suppose a stretched spring is used to supply power to a light bulb. The spring has a spring constant k=34.0 N/m and is stretched from its equilibrium length (which is the length where the spring force is zero) by a length 2.24 m. If the spring returns to its equilibrium length in 55.3 seconds, what is the average power in Watts that could be transferred from the spring to the light bulb?
Simple harmonic motion
Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.
Simple Pendulum
A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.
Oscillation
In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.
Suppose a stretched spring is used to supply power to a light bulb. The spring has a spring constant k=34.0 N/m and is stretched from its equilibrium length (which is the length where the spring force is zero) by a length 2.24 m. If the spring returns to its equilibrium length in 55.3 seconds, what is the average power in Watts that could be transferred from the spring to the light bulb?
Given Data:
The magnitude of spring constant is,
The extension in the spring is,
The time taken by a spring to reach its equilibrium length is,
The expression for the average power in terms of work done is given as,
Here, W is the work done by the spring, and t is the time.
The work done by a spring is calculated as,
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