7.-5 points Tipler6 9.P029.soln. A wheel released from rest is rotating with con

Question

7.-5 points Tipler6 9.P029.soln. A wheel released from rest is rotating with constant angular acceleration of 3.0 rad/s2 (a) After 1.5 s, what is its angular velocity? rad/s (b) Through what angle has the wheel turned? rad (c) How many revolutions has it made? rev (d) What is the speed of a point 0.9 m from the axis of rotation? m/s What is the magnitude of the total acceleration of the same point? m/s2 eB 8. (0-3 points TiplerG 9P031 A disk of radius 12 cm, initially at rest, begins rotating about its axis with a constant angular acceleration of 8.0 rad/s

Explanation / Answer

Here ,

a) at 1.5 s

angular velocity = a* t

angular velocity = 3 * 1.5

angular velocity = 4.5 rad/s

b)

angle turned by wheel = 0.50 * a *t ^2

angle turned by wheel = 0.50* 3 * 1.5^2

angle turned by wheel = 3.38 radian

c)

revolutions made = 3.38/(2pi)

revolutions made = 0.54 revs

d)

speed of point = 4.5 * r

speed of point = 4.5 * 0.90

speed of point = 4.05 m/s

e)

magnitude of total acceleration = sqrt((4.05^2/.90)^2 + (3 * 0.90)^2)

magnitude of total acceleration = 18.4 m/s^2

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