(Figure 1) shows the angular-velocity-versus-time graph for a particle moving in a circle. Part A How many revolutions does the object make during the first 4 s? Express your answer using two significant figures. ► View Available Hint(s) n = OF 15. ΑΣΦ Submit Provide Feedback ? revolutions
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.
![**Angular Velocity and Circular Motion**
*(Figure 1) shows the angular velocity versus time graph for a particle moving in a circle.*
**Graph Description:**
- **X-axis (Time, \( t \)):** Measured in seconds (s), ranging from 0 to 4 seconds.
- **Y-axis (Angular Velocity, \( \omega \)):** Measured in radians per second (rad/s), ranging from 0 to 20 rad/s.
**Plot Details:**
- From \( t = 0 \) to \( t = 2 \) seconds, the angular velocity remains constant at 10 rad/s.
- From \( t = 2 \) to \( t = 3 \) seconds, the angular velocity increases linearly from 10 rad/s to 20 rad/s.
- From \( t = 3 \) to \( t = 4 \) seconds, the angular velocity remains constant at 20 rad/s.
**Part A: Calculation Task**
- **Question:** How many revolutions does the object make during the first 4 seconds?
- **Instructions:** Express your answer using two significant figures.
To determine the total number of revolutions, the angular displacement over time should be calculated. This involves integrating the angular velocity over the time interval.
**Submit your response** in the designated input box once calculated.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb365fa56-db01-4f82-bc2c-5bb5151e447e%2Fe71a95cd-098a-41d6-bdee-a57ad59539fb%2Fiug1xqs_processed.png&w=3840&q=75)
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