Physics Fundamentals
2nd Edition
ISBN: 9780971313453
Author: Vincent P. Coletta
Publisher: PHYSICS CURRICULUM+INSTRUCT.INC.
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Chapter 3, Problem 44P
(a)
To determine
The velocity of the point that is instantaneously on the top edge of an automobile tire relative to a passenger in the car.
(b)
To determine
The centripetal acceleration of the point located on the top of the tire relative to earth.
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eTextbook and Media
Because we are on the surface of the Earth and the Earth is rotating, we expe-
rience a centripetal acceleration towards the axis about which we rotate.
(a) What is the acceleration that you would feel from the circular motion due
to the rotation of the Earth if you were at the equator? Feel free to look up the
radius of the Earth.
For a uniform circular motion along a vertical circle of radius Rat speed vo, derive (a) The centripetal acceleration is expressed as ( picture 1) ac=4pi^2R/T^2, where T is the period of the motion.
(b) The centripetal acceleration expressed as (picture 2) ac=w^2R , where w is the angular speed (how much angle is swept out per unit of time). Note that the distance s along the circular path traveled is related to the angle θ swept out through s=θR
Chapter 3 Solutions
Physics Fundamentals
Ch. 3 - Prob. 1QCh. 3 - Prob. 2QCh. 3 - Prob. 3QCh. 3 - Prob. 4QCh. 3 - Prob. 5QCh. 3 - Prob. 6QCh. 3 - Prob. 7QCh. 3 - Prob. 8QCh. 3 - Prob. 1PCh. 3 - Prob. 2P
Ch. 3 - Prob. 3PCh. 3 - Prob. 4PCh. 3 - Prob. 5PCh. 3 - Prob. 6PCh. 3 - Prob. 7PCh. 3 - Prob. 8PCh. 3 - Prob. 9PCh. 3 - Prob. 10PCh. 3 - Prob. 11PCh. 3 - Prob. 12PCh. 3 - Prob. 13PCh. 3 - Prob. 14PCh. 3 - Prob. 15PCh. 3 - Prob. 16PCh. 3 - Prob. 17PCh. 3 - Prob. 18PCh. 3 - Prob. 19PCh. 3 - Prob. 20PCh. 3 - Prob. 21PCh. 3 - Prob. 22PCh. 3 - Prob. 23PCh. 3 - Prob. 24PCh. 3 - Prob. 25PCh. 3 - Prob. 26PCh. 3 - Prob. 27PCh. 3 - Prob. 28PCh. 3 - Prob. 29PCh. 3 - Prob. 30PCh. 3 - Prob. 31PCh. 3 - Prob. 32PCh. 3 - Prob. 33PCh. 3 - Prob. 34PCh. 3 - Prob. 35PCh. 3 - Prob. 36PCh. 3 - Prob. 37PCh. 3 - Prob. 38PCh. 3 - Prob. 39PCh. 3 - Prob. 40PCh. 3 - Prob. 41PCh. 3 - Prob. 42PCh. 3 - Prob. 43PCh. 3 - Prob. 44PCh. 3 - Prob. 45PCh. 3 - Prob. 46PCh. 3 - Prob. 47PCh. 3 - Prob. 48PCh. 3 - Prob. 49PCh. 3 - Prob. 50PCh. 3 - Prob. 51PCh. 3 - Prob. 52PCh. 3 - Prob. 53PCh. 3 - Prob. 54PCh. 3 - Prob. 55P
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- A geosynchronous satellite orbits Earth at a distance of 42,250.O km and has a period of 1 day. What is the centripetal acceleration of the satellite?arrow_forwardA fairground ride spins its occupants inside a flying saucer-shaped container. If the horizontal circular path the riders follow has an 8.00-m radius, at how many revolutions per minute are the riders subjected to a centripetal acceleration equal to that of gravity?arrow_forwardA certain light truck can go around an unbanked curve having a radius of 150 m with a maximum speed of 32.0 m/s. With what maximum speed can it go around a curve having a radius of 75.0 m?arrow_forward
- Explain why centripetal acceleration changes the direction of velocity in circular motion but not its magnitude.arrow_forwardAn experimental jet rocket travels around Earth along its equator just above its surface. At what speed must the jet travel if the magnitude of its acceleration is g ?arrow_forwardWhat is the acceleration of Venus toward the Sun, assuming a circular orbit?arrow_forward
- What is the average speed in mi/h of a person at the equator as a result of the Earths rotation? (Take the radius of the Earth to be RE = 4000 mi.)arrow_forwardA fan is rotating at a constant 360.0 rev/min. What is the magnitude of the acceleration of a point on one of its blades 10.0 cm from the axis of rotation?arrow_forwardCan tangential acceleration change the speed of a particle undergoing circular motion?arrow_forward
- Which has the greater centripetal acceleration, a car with a speed of 15.0 m/s along a circular track of radius 100.0 m or a car with a speed of 12.0 m/s along a circular track of radius 75.0 m?arrow_forwardAs their booster rockets separate, Space Shuttle astronauts typically feel accelerations up to 3g, where g = 9.80 m/s2. In their training, astronauts ride in a device where they experience such an acceleration as a centripetal acceleration. Specifically, the astronaut is fastened securely at the end of a mechanical arm, which then turns at constant speed in a horizontal circle. Determine the rotation rate, in revolutions per second, required to give an astronaut a centripetal acceleration of 3.00g while in circular motion with radius 9.45 m.arrow_forwardA particle’s centripetal acceleration is aC=4.0m/s2 at t=0s . It is executing uniform circular motion about an axis at a distance of 5.0 m. What is its velocity at t=10s ?arrow_forward
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