Answer to Question #261702 in Mechanical Engineering for Nuzra

Question #261702

A disk 254 mm in diameter accelerates uniformly from a speed of 1000 r/min to 2000

r/min in 20 s. Find (a) the angular acceleration in radians per second squared and (b) the

revolutions of the disk during the 20-s interval.


1
Expert's answer
2021-11-06T01:38:14-0400

(a)


α=ω2ω1t=0.83 r/s2.\alpha=\frac{\omega_2-\omega_1}{t}=0.83\text{ r/s}^2.

(b)


N=ω22ω122α=502 revolutionsN=\frac{\omega_2^2-\omega_1^2}{2\alpha}=502\text{ revolutions}


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