A fisherman is reeling in a fish. In 6.6 s he winds 2.8 m of fishing line onto a reel whose radius is 3.8 cm (assumed to be constant as an approximation). The line is being reeled in at a constant speed. Determine the angular speed of the reel.

Angular speed of the reel = 11.16 rad/s

Explanation:

Linear speed = Radius x Angular speed

v = rω

Radius, r = 3.8 cm = 0.038 m

We need to find linear velocity, v

Length of winding = 2.8 m

Time for winding = 6.6 s

Length of winding = Linear velocity x Time for winding

2.8 = v x 6.6

v = 0.42 m/s

Substituting in v = rω

0.42 = 0.038 x ω

ω = 11.16 rad/s

Angular speed of the reel = 11.16 rad/s