Wednesday

August 27, 2014

August 27, 2014

Posted by **monic** on Thursday, November 29, 2012 at 12:11am.

(a) Find the angular speed of the wheel sprocket.

rad/min

(b) Find the speed of the bicycle. (Assume that the wheel turns at the same rate as the wheel sprocket. Round your answer to one decimal place.)

mi/h

- trigonometry -
**Reiny**, Thursday, November 29, 2012 at 10:41amangular velocity:

1 rotation = 2π radians

45 rotations = 90π radians

angular velocity = 90π radians/minute

Since circumference is linear and we are told the radius of the pedal sprocket is twice that of the wheel sprocket, for every turn of the pedal, the wheel will make 2 rotations

So in 1 minute the wheel turns 90 times

circumference of wheel = 2π(13) = 26π inches

distance covered in 1 minute = 90(26π) = 2340π inches

speed = 2340π inches/min

there are 12(5280) inches in 1 mile

and 60 minutes in 1 hour

speed = 2340π(60/(12(5280)) miles/hr

= appr 7.0 mph

**Related Questions**

physics - A bicycle chain is wrapped around a rear sprocket (r = 0.039m) and a ...

physics - A bicycle chain is wrapped around a rear sprocket (r = 0.041 m) and a ...

Physics - A bicycle chain is wrapped around a rear sprocket (r = 0.038 m) and a ...

Physics - A bicycle chain is wrapped around a rear sprocket (r = 0.037 m) and a ...

Physics - I am having trouble with the last portion of this question. If someone...

science - During a competition, a 60kg cyclist rides along a horizontal road on ...

Physics - I am having trouble with the last portion of this question. If someone...

physics - A bicycle wheel has a diameter of 64.2 cm and a mass of 1.79 kg. ...

pre calc - The front sprocket off a bicycle is 12 centimeters and the rear one ...

pre calc - The front sprocket off a bicycle is 12 centimeters and the rear one ...