InterviewSolution
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InterviewSolution
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A uniform disk rotating with constant angular acceleration covers 50 revolutions in the first five secondsafter the start. Calculate the angular acceleration and the angular velocity at the end of five seconds |
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Answer» Α = angular acceleration = rad/sec²t = time = 5 secω₀ = initial angular velocity = 0 rad/sec as the body is at rest at t = 0 sec.θ = total angle rotated from t=0 to t, = 50 * 2π radiansTotal angle rotated = θ = ω₀ t + 1/2 * α * t² (It`s like: total distance = s = u t + 1/2 * a * t²)So 100 π = 0 * 5 + 1/2 * α * 5² α = 8π rad/sec² = 8π /(2π) revolutions/sec² , as 1 revolution = 2π rad. = 4 revolutions/sec². α = 4 rev/secTotal angle rotated = θ = ω₀ t + 1/2 * α * t² 50 rev = 0 * 5 + 1/2 * α * 5² α = 4 rev/sec² |
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