1-4) A car accelerates constantly in a plane curve with radius r = 250 m in 10 s from54 km/h to 72 km/h. Determine the angular acceleration and the angle which iscovered in the circular path during the process of acceleration! Which distance hasbeen driven by the car? How big is the acceleration once 72 km/h are reached?

The radius is r = 250 mThe time interval is t = 10 sThe initial linear speed is v1 = 54 km/h = 15…

Answered: 1-4) A car accelerates constantly in a…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Motion In Two Dimensions

Section: Chapter Questions

Problem 31P: Figure P3.31 represents the total acceleration of a particle moving clockwise in a circle of radius...

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As 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.
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?
Explain why centripetal acceleration changes the direction of velocity in circular motion but not its magnitude.
Figure P3.31 represents the total acceleration of a particle moving clockwise in a circle of radius 2.50 m at a certain instant of time. For that instant, find (a) the radial acceleration of the particle, (b) the speed of the particle, and (c) its tangential acceleration.
A 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?
The Moon's mass is 7.35 1022 kg, and it moves in a nearly circular orbit with radius 3.84 108 m. The period of its motion is 27.3 days. Use this, information to determine the Moon's (a) orbital speed and (b) its acceleration.
Explain why centripetal acceleration changes the direction of velocity in circular motion but not its magnitude.
4) A car enters a 110m radius curve and the driver experiences a centripetal acceleration of 4.55 m/s ^ 2 Determine the speed of the car in meters per second .
Cross country runners must turn a corner around a tree obstacle, in the rain. a) The first runner takes a wide line to the tree and runs around a curve with a radius of 1.5 m and undergoes a radial acceleration of 10 m/s2. Determine their tangential velocity during the curve. b) The second runner is trying to catch up and so runs closer to the tree. If a loss of control (slip) occurs at a radial acceleration of 22 m/s2, does the runner manage to run around a curve with a radius of 0.50 m at a tangential velocity of 3.5 m/s?
Can the total acceleration of an object undergoing circular motion be greater than the centripetal acceleration? Please explain.
5) During the last rotation, a hammer thrower maintains a constant acceleration of his hammer. From 28 m/s, the hammer attains a velocity of 30 m/s. a) If the radius of the hammer trajectory is 1.2 m, determine the total linear acceleration when the hammer has covered 3/4 of the last rotation. b) How far will the throw be if the initial angle is 43°, 1.9 m above the ground?
1) Three people are standing on a horizontally rotating platform in an amusement park. One person is almost at the edge, the second one is (3)R from the center, and the third is (2)R from the center. Compare (a) their periods of rotation, (b) their speeds, and (c) their radial accelerations.

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