Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 8 - Rotational Motion - Problems: 18

Answer

29977.15 Rev

Work Step by Step

Find the final angular velocity (omega) and convert to radians. 15000 Rev/60 Sec = 250 Rev/Sec 250 × 2π = 1570.8 Rad/Sec ω (initial) = 0 because it is starting from rest. To find the angular acceleration (alpha), use the equation: ω (final) = ω (initial) + α (alpha) t (time) 1570.8 = 240 sec × α (alpha) Angular acceleration = 6.54 Rad/Sec$^{2}$ To find θ, use the equation: θ = ω (initial) t + (1/2) α (alpha) t$^{2}$ θ = 0 + (1/2)(6.54)(240 sec)$^{2}$ θ = 188352 Rad Rev = θ/(2π) Rev = 188352 Rad/(2π) = 29977.15 Rev
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