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

Solution: Angular deceleration α = (ω_f - ω_i) / t = (0 - 20 rad/s) / 5 s = -4 rad/s², so the magnitude is 4 rad/s².

Steps: 7

Step 1: Identify the initial angular velocity (ω_i). In this case, it is 20 rad/s.
Step 2: Identify the final angular velocity (ω_f). Since the flywheel comes to rest, ω_f is 0 rad/s.
Step 3: Identify the time (t) it takes to come to rest. Here, t is 5 seconds.
Step 4: Use the formula for angular deceleration (α): α = (ω_f - ω_i) / t.
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: The negative sign indicates deceleration. The magnitude of angular deceleration is 4 rad/s².