angular vel to tangential vel
v=r omega
v = 56 x 100/60 x 2 pi
v = 56x5/3x6
v=560m/s as estimate
100 revs, 5.00m
Answer:
a) 52.3 m/s
b) it has zero average velocity.
Explanation:
a) angular speed is the rate of change of the angle (in radians) with time. For this case:
given: 1 revolution is equivalent to 2π radians
then: 100 revolutions are equivalent to 200π radians
angular speed = (200π rad)/ (60 s) = 10.46 rad/s
tangential speed is the speed of a point on the surface of the spinning object, which is the angular speed times the distance from the point to the axis of rotation. For this case:
tangential speed = distance from tip to center * angular speed
= 5 m * 10.46 rad/s = 52.3 m/s
b) The displacement made by the tip after one revolution is zero (its final position is equal to its initial position). Therefore, it has zero average velocity.
