*77. Go ssm An automobile, starting from rest, has a linear acceleration tothe right whose magnitude is 0.800 m/s² (see the figure). During the next20.0 s, the tires roll and do not slip. The radius of each wheel is 0.330 m. Atthe end of this time, what is the angle through which each wheel has rotated?At restt= 20.0 sto = 0sIn this chapter we have studied the concepts of angular displacement,angular velocity, and angular acceleration. We now review some im-portant aspects of these quantities. Problem 78 illustrates that the an-gular acceleration and the angular velocity can have the same or oppo-site direction, depending on whether the angular speed is increasing ordecreasing. Problem 79 reviews the two different types of acceleration,centripetal and tangential, that a car can have when it travels on a cir-cular road.

Answered: Image /qna-images/answer/36edd805-ad48-4657-8bd3-58d95f9fcae3.jpg

Answered: *77. Go ssm An automobile, starting…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter12: Rotation I: Kinematics And Dynamics

Section: Chapter Questions

Problem 77PQ

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A point on a rotating turntable 20.0 cm from the center accelerates from rest to a final speed of 0.700 m/s in 1.75 s. At t = 1.25 s, find the magnitude and direction of (a) the radial acceleration, (b) the tangential acceleration, and (c) the total acceleration of the point.
During a certain time interval, the angular position of a swinging door is described by = 5.00 + 10.0t + 2.00t2, where is in radians and t is in seconds. Determine the angular position, angular speed, and angular acceleration of the door (a) at t = 0 and (b) at t = 3.00 s.
One method of pitching a softball is called the wind-mill delivery method, in which the pitchers arm rotates through approximately 360 in a vertical plane before the 198-gram ball is released at the lowest point of the circular motion. An experienced pitcher can throw a ball with a speed of 98.0 mi/h. Assume the angular acceleration is uniform throughout the pitching motion and take the distance between the softball and the shoulder joint to be 74.2 cm. (a) Determine the angular speed of the arm in rev/s at the instant of release, (b) Find the value of the angular acceleration in rev/s2 and the radial and tangential acceleration of the ball just before it is released, (c) Determine the force exerted on the ball by the pitchers hand (both radial and tangential components) just before it is released.
Jeff, running outside to play, pushes on a swinging door, causing its motion to be briefly described by = t2 + 0.800 t + 2.00,where t is in seconds and is in radians. At t = 0 and at t = 1.50s, what are the a. angular position, b. angular speed, and c. angularacceleration of the door?
If the CD rotates clockwise at 500 rpmrpm (revolutions per minute) while the last song is playing, and then spins down to zero angular speed in 2.60 ss with constant angular acceleration, what is ααalpha, the magnitude of the angular acceleration of the CD, as it spins to a stop? Assuming that the CD spins down with a constant angular acceleration. in units of rad/s^2
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How fast (in rpm) must a centrifuge rotate if a particle 6.7 cm from the axis of rotation is to experience an acceleration of 200000 g’s? Express your answer using two significant figures
You are at a playground with a merry-go-round, which is initially sitting still. You push on it, causing it to accelerate in the angle at a rate of 1.2 rad/s2. If you push for 3 seconds How many radians will the merry-go-round have turned through during that time?
When a slice of buttered toast is accidentally pushed over the edge of a counter, it rotates as it falls. If the distance to the floor is 76 cm and for rotation less than 1 rev, what are the (a) smallest and (b) largest angular speeds that cause the toast to hit and then topple to be butter-side down?
A model of a helicopter rotor has four blades, each of length 3.6 m from the central shaft to the blade tip. The model is rotated in a wind tunnel at a rotational speed of 530 rev/min. What is the radial acceleration of the blade tip expressed as a multiple of the acceleration due to gravity, g?
An object rotates about a fixed axis, and the angular position of a reference line on the object is given by θ = 0.580e6t, where θ is in radians and t is in seconds. Consider a point on the object that is 7.00 cm from the axis of rotation. At t = 0, what are the magnitudes of the point's (a) tangential component of acceleration and (b) radial component of acceleration?
A 40.0-cm diameter disk rotates with a constant angular acceleration of 2.60 rad/s2. It starts from rest at t = 0, and a line drawn from the center of the disk to a point P on the rim of the disk makes an angle of 57.3° with the positive x-axis at this time. (a) At t = 2.40 s, find the angular speed of the wheel. Answer in rad/s (b) At t = 2.40 s, find the magnitude of the linear velocity and tangential acceleration of P. linear velocity ____ m/s tangential acceleration ___ m/s2 (c) At t = 2.40 s, find the position of P (in degrees, with respect to the positive x-axis). Answer in ° counterclockwise from the +x-axis

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