In 9.4 s a fisherman winds 2.0 m of fishing line onto a reel whose radius is 3.0 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
The correct answer to this is 7.09 rad/s but I have no idea how to arrive at this. Any help would be appreciated.
2006-12-04 10:35:18 · 3 answers · asked by larkinfan11 3 in Science & Mathematics ➔ Physics
Linear speed v=2/9.4=0.2128 m/s, angular speed w=v/r, where r=0.03m; w=0.2128/0.03=7.09 rad/s
2006-12-04 13:23:59 · answer #1 · answered by Anonymous · 0⤊ 0⤋
2.0 m / 9.4 s = .213 m/s =21.3 cm /s
1 rad = 3 cm
21.3 cm / sec * rad / 3 cm = 7.1 rad / sec (cm's cancel)
Use your unit balancing to help set up the equations.
2006-12-04 18:43:08 · answer #2 · answered by www.HaysEngineering.com 4 · 0⤊ 0⤋
angular velocity is delta omega/delta time
2006-12-04 18:43:26 · answer #3 · answered by R-Diz 4 · 0⤊ 0⤋