COLLEGE PHYSICS
2nd Edition
ISBN: 9781464196393
Author: Freedman
Publisher: MAC HIGHER
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Chapter 5, Problem 15QAP
To determine
How to measure the centripetal acceleration of a car rounding a curve
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Chapter 5 Solutions
COLLEGE PHYSICS
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- In Example 2.6, we considered a simple model for a rocket launched from the surface of the Earth. A better expression for the rockets position measured from the center of the Earth is given by y(t)=(R3/2+3g2Rt)2/3j where R is the radius of the Earth (6.38 106 m) and g is the constant acceleration of an object in free fall near the Earths surface (9.81 m/s2). a. Derive expressions for vy(t) and ay(t). b. Plot y(t), vy(t), and ay(t). (A spreadsheet program would be helpful.) c. When will the rocket be at y=4R? d. What are vy and ay when y=4R?arrow_forwardA runner taking part in the 200 m dash must run around the end of a track that has a circular arc with a radius of curvature of 30 m. If he completes the 200 m dash in 23.2 s and runs at constant speed throughout the race, what is the magnitude of his centripetal acceleration as he runs the curved portion of the track?arrow_forwardWhich of the following is impossible for a car moving in a circular path? Assume that the car is never at rest. (a) The car has tangential acceleration but no centripetal acceleration. (b) The car has centripetal acceleration but no tangential acceleration. (c) The car has both centripetal acceleration and tangential acceleration.arrow_forward
- A 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 will the riders be subjected to a centripetal acceleration whose magnitude is 1.50 times that due to gravity?arrow_forwardExplain why centripetal acceleration changes the direction of velocity in circular motion but not its magnitude.arrow_forwardAn ordinary workshop grindstone has a radius of 7.50 cm and rotates at 6500 rev/min. (a) Calculate the magnitude of the centripetal acceleration at its edge in meters per second squared and convert it to multiples of g.arrow_forward
- A door in a hospital has a pneumatic closer that pulls the door shut such that the doorknob moves with constant speed over most of its path. In this part of its motion, (a) does the doorknob experience a centripetal acceleration? (b) Does it experience a tangential acceleration?arrow_forwardAn automobile with 0.260 m radius tires travels 80,000 km before wearing them out. How many revolutions do the tires make, neglecting any backing up and any change in radius due to wear?arrow_forward3. If an object is in uniform circular motion, then it is accelerating towards the center of the circle; yet the object never gets any closer to the center of the circle. It maintains a circular path at a constant radius from the circle's center. Suggest a reason as to how this can be. How can an object accelerate towards the center without ever getting any closer to the center?arrow_forward
- An aircraft performs a maneuver called an "aileron roll." During this maneuver, the plane turns likea screw as it maintains a straight flight path, which sets the wings in circular motion. If it takes it 35s to complete the circle and the wingspan of the plane is 11 m, what is the acceleration of the wingtip?A) 5.6 m/s2 B) 1.0 m/s2 C) 0.99 m/s2 D) 0.18 m/s2arrow_forward13) jet plane is capable of an acceleration of magnitude 0.564gwhen it turns.If the plane is flying at 988 km/hr, what’s the minimum turning radius for the plane?arrow_forwardFormula One race cars are capable of remarkable accelerations when speeding up, slowing down, and turning corners. At one track, cars round a corner that is a segment of a circle of radius 95 m at a speed of 68 m/s. What is the approximate magnitude of the centripetal acceleration, in units of g? A. 18 B.28 C. 38 D.48 E.58arrow_forward
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What Is Circular Motion? | Physics in Motion; Author: GPB Education;https://www.youtube.com/watch?v=1cL6pHmbQ2c;License: Standard YouTube License, CC-BY