A flywheel is rotating with an angular speed of 10 rad/s. If it is brought to rest in 5 seconds, what is the angular deceleration? (2020)

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Q: A flywheel is rotating with an angular speed of 10 rad/s. If it is brought to rest in 5 seconds, what is the angular deceleration? (2020)

Solution: Using the formula α = (ω - ω₀)/t, we have α = (0 - 10)/5 = -2 rad/s², so the deceleration is 2 rad/s².

Steps: 7

Step 1: Identify the initial angular speed (ω₀). In this case, it is 10 rad/s.
Step 2: Identify the final angular speed (ω). Since the flywheel is brought to rest, the final speed is 0 rad/s.
Step 3: Identify the time (t) it takes to come to rest. Here, it is 5 seconds.
Step 4: Use the formula for angular deceleration (α): α = (ω - ω₀) / t.
Step 5: Substitute the values into the formula: α = (0 - 10) / 5.
Step 6: Calculate the result: α = -10 / 5 = -2 rad/s².
Step 7: Since we are looking for deceleration, take the absolute value: the deceleration is 2 rad/s².