A race car moves on a circular track at a uniform speed of 30.0 m/s in a counterclockwise direction.  The radius of the track is 75.0 m.  What is the direction of the car’s acceleration?         b. What is the magnitude of the car’s acceleration?

Helicopter blades withstand tremendous stresses. In addition to supporting the weight of a helicopter, they are spun at rapid rates and experience large centripetal accelerations, especially at the tip. A. Calculate the magnitude (in m/s2) of the centripetal acceleration at the tip of a 3.40 m long helicopter blade that rotates at 240 rev/min. B.  Compare the linear speed of the tip with the speed of sound (taken to be 340 m/s). Vtip/VSound =

E. The centripetal acceleration of a particle moving in a circle is given by the formula a = s²/r where r is the radius and s is the speed of the particle. a) Consider a as a function of s and r. Compute the differential of a. b) Suppose that the particle is moving with speed 50cm/sec and the radius is 10cm. Use the differential to estimate the change in centripetal acceleration if the radius is changed to 9.80cm and the speed is changed to 51cm/sec. (Answ: 15) c) Suppose that the speed can be measured to within +3% and the radius can be measured to within +2%. Use the differential to approximate the maximum percent error in a. (Hint: The percent error in a quantity is the error in the quantity (da) divided by the quantity (a).) (Ans: 8%)

We know that the moon Callisto revolves around Jupiter during a period of 17.0 days.17.0 days. The average distance from the center of Jupiter to the center of Callisto is 1.95×109 m.1.95×109 m. What is the acceleration ?a of Callisto due to its motion around Jupiter?