solve what you can! Suppose the wheel makes one complete revolution in 2 seconds

Question

solve what you can!

Suppose the wheel makes one complete revolution in 2 seconds. Find the rate of change in the angle for point A. Express your answer in radians per second (rad's). (0 Would your answer also apply to the rate of change in the angle for point B? Point C? Explain. The rate of change in the angle for the wheel is called the angular velocity of the wheel. Angular velocity is conventionally denoted by the symbol w (the Greek letter omega). Suppose that the wheel makes one complete revolution in 2 seconds (as before) and that the distance between the center of wheel and point A is 42 cm. the distance traveled by point A during one complete revolution of the wheel, and

Explanation / Answer

e) Rate of change = angle revolved/ time

= (2 pi rad) / (2 sec) = pi rad/s Or 3.14 rad/s

f) yes, rate of change of angle is same for all the points on wheel

g) distance = theta * r = (2pi rad) ( 0.42 m ) = 2.64 m

linear velocity = w*r = 3.14 x 0.42 = 1.32 m /s

v =w * r

3. (A) Previous part needed.

b) angular acc = delta w / delta t = - 8 pi /4 = - 2pi rad/s^2

ii) a = deltaV / delta t

and V= w . r

(distance of point is constant w r t to axis )

a = r deltaw / delta t

a = r ( alpha)

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