A bicyclist notes that the pedal sprocket has a radius of r,-11.5 cm while the wheel sprocket has a radius

A bicyclist notes that the pedal sprocket has a radius of r,-11.5 cm while the wheel sprocket has a radius.

Answer:

(a)
tangential speed at their outer edges

(b)
wp=2pi/T
wp=2pi/(1.4)
wp=4.9 rad/sec

(c )
vp=rpWp
vp=11.5
10^-2*4.9
vp=0.56 m/sec

(d)
Here,
vp=vw
0.56=rwWw
0.56=5.5
10^-2*(Ww)
===> Ww=10.2 rad/sec

(e)
Here,
angular speed of the wheel is also W=10.2 rad/sec
now,
v=Rw
=62
10.2
=632.4 m/sec

(f)
t=2pirp/v
t=2pi
11.5/(5.5)
==> t=13.14 sec