Question

Q15 A car is moving on a circular track at constant speed v 40 MPH. The radius of the track is R 30 m. when the car has traveled a distance of πR, its acceleration is a) Pointing towards the center of the circle and equal to 10.7 m/s2 b) Pointing along the circle and equal to 10.7 m/s c) 0 d) None of the above.

Answer 1

For circular motion at contant speed v the acceleration is equal to v^{​​​​​​2}​​​​​/R which is always acting towards the centre.

And this is known as centripetal acceleration.

V=40MPH

one miles =1609.344meter

one hours=3600sec

V=(40x1609.344)/3600=17.88m/sec

R=30m

acceleration=(17.88x17.88)/30=10.7m/sec^{​​​​2}

so options a is correct answer.