intial angular speed of a wheel is 20rad its angular displacement in 10sec is 100rad . How many rotasions will it make from the beginning to the time till it stops .
mishrashivansh16:
u want to ask rotations it makes
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ω₀ = 20 rad/s. θ = 100 rad. t = 10 sec.
SIMPLE: Number of revolutions n = angular displacement θ /(2π)
n = 100 rad / (2π) = 50/π revolutions = 15.9090 rev.
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At t = 10 sec. the wheel stopped because of uniform angular deceleration α. So the angular speed ω at t = 10 sec, is 0.
α = (ω - ω₀)/t = -20/10 = - 2 rad/sec² = - 2 / (2π) rev/sec²
SIMPLE: Number of revolutions n = angular displacement θ /(2π)
n = 100 rad / (2π) = 50/π revolutions = 15.9090 rev.
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At t = 10 sec. the wheel stopped because of uniform angular deceleration α. So the angular speed ω at t = 10 sec, is 0.
α = (ω - ω₀)/t = -20/10 = - 2 rad/sec² = - 2 / (2π) rev/sec²
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