Physics - still confused -Please help
posted by Nilan .
In 9.7 s a fisherman winds 2.1 m of fishing line onto a reel whose radius is 30 cm (assumed to be constant as an approximation).
The line is reeled in at constant speed.
Determine the angular speed of the reel in rad/s.
The velocity of pulling in the line is is
V = w * R , which means
Linear speed = (Angular speed)*(Radius)
= 2.1m/9.7s = 0.2165 m/s
Angular speed = 0.2165/0.3
= 0.7216 rad/s
r = .30 meters
2 pi r = 1.88 m
2.1/1.88 = 1.11 revolutions
1.11 * 2 pi = 7 radians
7 radians / 9.7 s = .722 rad/s