PHYSICS

super easy (I think) but I must be missing some concept...

A race car starts from rest on a circular track. The car increases its speed at a constant rate at as it goes 5.00 times around the track. Find the angle that the total acceleration of the car makes with the radius connecting the center of the track and the car at the moment the car completes its trip of 5.00 times around the circle.

THANK YOU

  1. 👍
  2. 👎
  3. 👁
  1. Let a be the speed acceleration rate. That vector will always be tangent to the circular path. There will also be a centripetal acceleration vector that increases with time. It is pointed toward the center of the circle and has magnitude V^2/R.

    The time it takes to complete 5 revolutions is
    T = 10 pi R/Vav = 20 pi R/V = V/a
    where V is the speed at that time and Vav is the average speed during T, which is V/2.
    Therefore V^2 = 20 pi R a
    and
    a(centripetal) = V^2/R
    = 20 pi a(tangential)

    The angle of the total acceleration vector to the radial direction is
    arctan a(tangential)/a(centripetal) = arctan [1/(20 pi)] = 0.91 degrees

    1. 👍
    2. 👎
  2. 1/pi=4.55

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. physics

    A race car moving with a constant speed of 60 m/s completes one lap around a circular track in 50 s. What is the magnitude of the acceleration of the race car?

  2. physics

    Cars A and B are racing each other along a straight path in following manner: Car A has head start and is a distance dA beyond starting line at t=0. The starting line is at x=o. Car A travels at constant speed vA. Car B starts at

  3. Physics

    A race car starts from rest in the pit area and accelerates at a uniform rate to a speed of 35 m/s in 11s, moving on a circular track of radius 500 m. Determine the tangential and centripetal components of the net force excreted

  4. physics =)

    A race car has a mass of 710 kg. It starts from rest and travels 40.0 m in 3.0 s. The car is uniformly accelerated during the entire time. What net force is exerted on it?

  1. Physics

    A car starts from rest and accelerates unifomly at 3m/s^2. A second car starts from rest 6 seconds later at the same point and accelerates uniformly at 5m/s^2. How long does it take the second car to over take the first car?

  2. Physics

    1. A car starts from rest and accelerates uniformly at 3.0 m/s2. A second car starts from rest 6.0 s later at the same point and accelerates uniformly at 5.0 m/s2. How long does it take the second car to overtake the first car? 2.

  3. Physics

    A sprinter starts from rest in a 100-meter race, accelerates to his full running speed of 10.3 m/s in 1.15 seconds (assume constant acceleration) and continues at that speed for the rest of the race. (a) How far did he run before

  4. physics

    Cars A and B are racing each other along the same straight road in the following manner: Car A has a head start and is a distance Da beyond the starting line at t=0. The starting line is at x=0. Car A travels at a constant speed

  1. Physics

    A race car accelerates on a straight track from 0 to 200 km/h in 6s. Another race car accelerates from 0 to 100 km/h in 5s. Compare the velocities and accelerates of the cars

  2. physics

    A race car track has been constructed with the a bank angle of 32.7° so there is no friction force. The race car track has a curve radius of 394 m. What speeds, for the race cars, has the track been designed to accommodate?

  3. AP physics please help

    A car is stopped at a traffic light. It then travels along a straight road such that its distance from the light is given by x(t) = bt^2 - ct^3, where b = 3 m/s^2 and c = 0.110 m/s^3. a) Calculate the average velocity of the car

  4. physics

    In a quarter-mile drag race, two cars start simultaneously from rest, and each accelerates at a constant rate until it either reaches its maximum speed or crosses the finish line. Car A has an acceleration of 11.0 m/s2 and a

You can view more similar questions or ask a new question.