Question 1

(a)What is the angular speed of the second hand of a smoothly running analog watch?

(b)What is the angular speed of the minute hand of a smoothly running analog watch?

(c)What is the angular speed of the hour hand of a smoothly running analog watch?

Question 2

The angular position of a point on a rotating wheel is given by 

θ=1.9+4.1t^2+2.1t^3

, where θ is in radians and t is in seconds.

(a)At t = 0, what is the point’s angular position?

(b)At t = 0, what is the point’s angular velocity?

(c)What is its angular velocity at t = 4.0 s?

(d)Calculate its angular acceleration at t = 2.0 s.

(e)Is its angular acceleration constant?