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A drum rotates around its central axis at an angular velocity of 10.4 rad/s. If the drum then slows at a constant rate of 5.55 rad/s2, (a) how much time does it take and (b) through what angle does it rotate in coming to rest

Respuesta :

Answer:

t=1.87s

b. 9.74

Explanation:

First to find time set an equation for angular velocity:

[tex]w_{2}=w_{1}+\alpha t\\0=10.4-5.55t\\-10.4=-5.55t\\1.87=t[/tex]

Now to find the angle:

[tex]x=x+wt+\frac{\alpha}{2} t^2\\x=10.4*1.87-\frac{5.55}{2} 1.87^2\\x=9.74[/tex]