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A disc is rotating at 200 rad/s. If its angular acceleration is -10 rad/s², how long will it take for the disc to come to a complete stop?
- a)20 seconds
- b)10 seconds
- c)5 seconds
- d)100 seconds
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
A disc is rotating at 200 rad/s. If its angular acceleration is -10 ra...
To find the time it takes for the disc to come to a complete stop, we can use the formula:
ω = ω₀ + αt
ω = ω₀ + αt
where:
ω = final angular velocity (0 rad/s, as the disc comes to a complete stop),
ω₀ = initial angular velocity (200 rad/s),
α = angular acceleration, and
t = time.
ω = final angular velocity (0 rad/s, as the disc comes to a complete stop),
ω₀ = initial angular velocity (200 rad/s),
α = angular acceleration, and
t = time.
Rearranging the formula to solve for time (t):
t = (ω - ω₀) / α
t = (ω - ω₀) / α
Substituting the given values:
t = (0 - 200 rad/s) / (-10 rad/s²)
t = 20 seconds
t = (0 - 200 rad/s) / (-10 rad/s²)
t = 20 seconds
Therefore, it will take 20 seconds for the disc to come to a complete stop.
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A disc is rotating at 200 rad/s. If its angular acceleration is -10 rad/s², how long will it take for the disc to come to a complete stop?a)20 secondsb)10 secondsc)5 secondsd)100 secondsCorrect answer is option 'A'. Can you explain this answer?
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