Question

Hint: For this problem, all angle units must be converted to the 'natural' unit for angular displacement, and without a picture, you won't get far at all.

A bike racer speeds up on a horizontal road. The wheel of radius 0.34 m is rotating at a rate of 0.70 revolutions per second at time = 0.0 s. The racer accelerates at a constant rate so that 0.22 seconds later her wheel rotates at 1.10 revolutions per second, after which she continues accelerating constantly. At time = 0.22 s,

a) What is the racer's linear speed?
b) What is the angular acceleration of the bike tire?
c) What is the racer's linear acceleration?

During the acceleration, a very dizzy fruit fly is hanging for dear life onto at the very outer edge of the tire sidewall. At time = 0.22 s, the fruit fly happens to be at the very top of the wheel (i.e. at the "12 o'clock" position). At that instant, in the frame of reference of the axle of the wheel, what are the...

d) i) radial velocity of the fruit fly?
   ii) tangential velocity of the fruit fly?
e) i) radial acceleration of the fruit fly?
   ii) tangential acceleration of the fruit fly?

At that instant, in the frame of reference of the road, what are the...

f) i) linear horizontal velocity of the fruit fly?
   ii) linear vertical velocity of the fruit fly?
g) i) linear horizontal acceleration of the fruit fly
   ii) linear vertical acceleration of the fruit fly?

h) If the fruit fly has mass 8.1 μg, what is the net force required to keep the fruit fly on the tire? (don't overcomplicate this: we don't have to separate out the normal force, F_g, nor forces exerted by the fly--we just want the net force required.)
HINT: N's laws only work in which frame?!?)

Answer 1