In 9.5 s a fisherman winds 2.5 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.
2006-11-13 03:41:03 · 4 answers · asked by Alan l 1 in Science & Mathematics ➔ Physics
This is more of a geometry/arithmetic problem than physics.
Let's reason through it.
The reel has a radius of 3 cm, so its circumference is 2 x pi x 3 cm.
The line is reeled in at a rate of (2.5 / 9.5) m/s,
or 100 x (2.5 / 9.5) cm/s.
By doing these calculations, you will have the centimeters per second at which the line is being reeled in, and the centimeters per revolution at which it is being reeled in. If you divide centimeters per second by centimeters per revolution, the result will be the revolutions per second at which the reel is turning. This is the angular speed that you need to calculate.
2006-11-13 03:47:20 · answer #1 · answered by actuator 5 · 0⤊ 0⤋
angular speed is independent of radius and metree.
it is dependent on time.
the angular speed of the reel is. 0.6611
2006-11-13 03:48:20 · answer #2 · answered by vishal b 2 · 0⤊ 0⤋
If they want the answer in radians, you need to calculate the circumference of the reel to get m/turn. Then perform 2.5m / (m/turn) to get # of turns. Divide that by 9.5 s to get turns/s. Multiply that by 2pi radians/turn to get radians per second.
2006-11-13 04:01:34 · answer #3 · answered by David S 4 · 0⤊ 0⤋
linearspeed v= r*angular speed
so angular speed=linearspeed/r
(2.5/9.5)*(1/0.03)=8.77 radians/second
2006-11-13 03:49:32 · answer #4 · answered by raj 7 · 0⤊ 0⤋