*79. ssm Suppose you are driving a car in a counterclockwise direc-tion on a circular road whose radius is r = 390 m (see the figure). Youlook at the speedometer and it reads a steady 32 m/s (about 72 mi/h). Con-cepts: (i) Does an object traveling at a constant tangential speed (forexample, v, = 32 m/s) along a circular path have an acceleration? (ii) Isthere a tangential acceleration a, when the angular speed of an objectchanges (e.g., when the car's angular speed decreases to 4.9 X 10-² rad/s)?Calculations: (a) What is the angular speed of the car? (b) Determine theacceleration (magnitude and direction) of the car. (c) To avoid a rear-endcollision with the vehicle ahead, you apply the brakes and reduce yourangular speed to 4.9 × 10-² rad/s in a time of 4.0 s. What is the tangentialacceleration (magnitude and direction) of the car?'T (decreasing)(a) Constant angular speed(b) Decreasing angular speedProblem 79

Answered: Image /qna-images/answer/467cb3c4-450e-4262-832d-936ae80288d8.jpg

Answered: *79. ssm Suppose you are driving a car…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter7: Gravity

Section: Chapter Questions

Problem 59PQ

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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?
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?
An 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?
A flea is at point on a horizontal turntable, 10.0 cm from the center. The turntable is rotating at 33.3 rev/min in the clockwise direction. The flea jumps straight up to a height of 5.00 cm. At takeoff, it gives itself no horizontal velocity relative to the turntable. The Ilea lands on the turntable at point . Choose the origin of coor-dinates to be at the center of the turntable and the positive xaxis passing through at the moment of takeoff. Then the original position of the flea is 10.0i cm. (a) Kind die position of point when die Ilea lands. (b) Find die position of point when the flea lands.
At some instant, a particle is traveling in a horizontal circular path of radius 6.6m, has a total acceleration with a magnitude of 19m/s^2 and a constant tangential acceleration of 12m/s^2. Determine the speed of the particle at this instant 1/8 of a revolution later.
8 - A particle is moving with constant velocity on a circular path with a radius of 0.4 m. Find the velocity of the particle if it makes five revolutions per second of motion. A) 2,4 m B) 12 m/s C) 2,4 m/s D) 12 rad/s E) 360 m/s^2
An athlete rotates a 1.00 kg discus along a circular path of radius 1.06 m. The maximum speed of the discus is 25.0 m/s. Determine the magnitude of the radial acceleration
Cheetahs running at top speed have been reported at an astounding 114 km/h (about 71 mi/h) by observers driving alongside the animals. Imagine trying to measure a cheetah’s speed by keeping your vehicle abreast of the animal while also glancing at your speedometer, which is registering 114 km/h.You keep the vehicle a constant 8.0 m from the cheetah, but the noise of the vehicle causes the cheetah to continuously veer away from you along a circular path of radius 92 m.Thus, you travel along a circular path of radius 100 m. (a) What is the angular speed of you and the cheetah around the circular paths? (b) What is the linear speed of the cheetah along its path? (If you did not account for the circular motion, you would conclude erroneously that the cheetah’s speed is 114 km/h, and that type of error was apparently made in the published reports.)
An athlete rotates a 1.00-kg discus along a circular path of radius 1.06 m. The maximum speed of the discus is 20.0 m/s. Determine the magnitude of the maximum radial acceleration of the discus in m/s^2.
A race car starts from rest on a circular track of radius 632m. The cars speed increases at the constant rate 0.690m/s^2. At the point where the magnitudes of the centripetal and tangential accelerations are equal, find the following A). The speed of the race car M/s b). The distance traveled M C). The elapsed time s
A jet fighter pilot flying at 300 m/s makes a turn with a radius of 1.5 km. Determine the radial acceleration in g’s experienced by the pilot due to the turn.Also Determine the tangential and total linear acceleration.
Let θ =23π/4 b.) What angle in the interval [0, 2π) is coterminal with θ? Express this angle in radians. c. ) An object is moving around a circle of radius 8 such that it rotates by θ in 2 minutes. i.) Determine how far the object moves along the circumference of the circle. ii.) Determine the object’s angular and linear speed..

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