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(a) How long does it take for the grinding wheel to stop? 1 s (b) Through how ma

ID: 2245507 • Letter: #

Question

    (a) How long does it take for the grinding wheel to stop?
1      s

    (b) Through how many radians has the wheel turned during the interval found in (a)?
2      rad please show all steps clearly An electric motor rotating a workshop grinding wheel at a rate of 8.90 times 101 rev/min is switched off. Assume the wheel has a constant negative angular acceleration of magnitude 1.60 rad/s2. How long does it take for the grinding wheel to stop? Through how many radians has the wheel turned during the interval found in (a)?

Explanation / Answer

w = 89 rev/min = 89*2pi/60 = 9.32 rad/s

a) w/a = 9.32/1.6 = 5.825 s

b) w^2/2a = 9.32^2/(2*1.6) = 27.1445 rad