A rotating bicycle wheel has an angular
speed of 45◦/s at 2.7 s and a constant angular
acceleration of 37◦/s^2
. With the center of the
wheel at the origin, the valve stem is on the
positive x-axis (horizontal) at tsub1= 1.2 s.
Through what angle has the valve stem
turned between 1.2 s and 7.7 s?
Answer in units of degrees

Question

A rotating bicycle wheel has an angular
speed of 45◦/s at 2.7 s and a constant angular
acceleration of 37◦/s^2
. With the center of the
wheel at the origin, the valve stem is on the
positive x-axis (horizontal) at tsub1= 1.2 s.
Through what angle has the valve stem
turned between 1.2 s and 7.7 s?
Answer in units of degrees

roadjester · Answer

your units are in degrees not radians?

anonymous · Answer

Yes. I think it would be easier to keep them that way because the final answer will be in degrees.

roadjester · Answer

so you're looking for theta.
$$\theta_f=\theta_i+\omega_i t+{\frac 1 2}\alpha t^2$$

anonymous · Answer

IS thetha initial = 0?

roadjester · Answer

That would be relative. It's always easiest to set it equal to 0. You can use something else but it's a pain to do the math.