A flywheel is rotating with an angular speed of 20 rad/s. If it comes to rest in 5 seconds, what is the angular deceleration?

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Q: A flywheel is rotating with an angular speed of 20 rad/s. If it comes to rest in 5 seconds, what is the angular deceleration?

Solution: Angular deceleration α = (final angular speed - initial angular speed) / time = (0 - 20 rad/s) / 5 s = -4 rad/s².

Steps: 7

Step 1: Identify the initial angular speed of the flywheel. It is given as 20 rad/s.
Step 2: Identify the final angular speed of the flywheel. Since it comes to rest, the final angular speed is 0 rad/s.
Step 3: Identify the time it takes for the flywheel to come to rest. It is given as 5 seconds.
Step 4: Use the formula for angular deceleration (α): α = (final angular speed - initial angular speed) / time.
Step 5: Substitute the values into the formula: α = (0 rad/s - 20 rad/s) / 5 s.
Step 6: Calculate the result: α = -20 rad/s / 5 s = -4 rad/s².
Step 7: Interpret the result. The negative sign indicates that it is a deceleration.