A disk of radius 2.25 m rotates about its axis. Points on the rim of the disk undergo tangential acceleration of magnitude 1.81 m/s². At a particular time, the rim has a tangential speed of 1.67 m/s. At a time 0.867 s later, what is the tangential speed v of a point on the rim, the magnitude of the point's radial acceleration a,, and the magnitude of its total acceleration hot? m/s a, = m/s? Atot = m/s²

A disk of radius 2.25 m rotates about its axis. Points on the rim of the disk undergo tangential acceleration of magnitude 1.81 m/s². At a particular time, the rim has a tangential speed of 1.67 m/s. At a time 0.867 s later, what is the tangential speed v of a point on the rim, the magnitude of the point's radial acceleration a,, and the magnitude of its total acceleration hot? m/s a, = m/s? Atot = m/s²

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

Chapter10: Rotational Motion

Section: Chapter Questions

Problem 11P: A disk 8.00 cm in radius rotates at a constant rate of 1200 rev/min about its central axis....

See similar textbooks

Similar questions

A wheel 2.00 m in diameter lies in a vertical plane and rotates about its central axis with a constant angular acceleration of 4.00 rad/s2. The wheel starts at rest at t = 0, and the radius vector of a certain point P on the rim makes an angle of 57.3 with the horizontal at this time. At t = 2.00 s, find (a) the angular speed of the wheel and, for point P, (b) the tangential speed, (c) the total acceleration, and (d) the angular position.
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?
The propeller of an aircraft accelerates from rest with an angular acceleration = 4t + 6, where is in rad/s2 and t isin seconds. What is the angle in radians through which thepropeller rotates from t = 1.00 s to t = 6.00 s?
A disk 8.00 cm in radius rotates at a constant rate of 1200 rev/min about its central axis. Determine (a) its angular speed in radians per second, (b) the tangential speed at a point 3.00 cm from its center, (c) the radial acceleration of a point on the rim, and (d) the total distance a point on the rim moves in 2.00 s.
A particle moves 3.0 m along a circle of radius 1.5 m. (a) Through what angle does it rotate? (b) If the particle makes this trip in 1.0 s at a constant speed, what is its angular velocity? (c) What is its acceleration?
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.)
In testing an automobile tire for proper alignment, a technicianmarks a spot on the tire 0.200 m from the center. He then mountsthe tire in a vertical plane and notes that the radius vector to thespot is at an angle of 35.0 with the horizontal. Starting from rest,the tire is spun rapidly with a constant angular acceleration of 3.00 rad/s2. a. What is the angular speed of the wheel after 4.00 s? b. What is the tangential speed of the spot after 4.00 s? c. What is the magnitude of the total accleration of the spot after 4.00 s?" d. What is the angular position of the spot after 4.00 s?
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 particle initially moves in a horizontal circular path of radius π meters at a constant speed of 4 m/s. With the initial speed of the particle as 4.0 m/s and changing at the rate of 5.0 m/s2, the magnitude of the total angular displacement (in revolutions) of the particle after a time interval of 2 s is nearly?
A car speeds up uniformly while rounding a turn of radius 13 meters. The car's angular speed increases from 0.52 radians per second to 0.98 radians per second as it turns through 1.30 radians. a. At the instant the angular speed is 0.76 radians per second, what is the car's centripetal acceleration? Include units in your answer. b. At the instant the angular speed is 0.76 radians per second, what is the car's tangential acceleration? Include units in your answer
An astronaut is tested in a centrifuge with radius 10 m and rotating according to u = 0.30t2. At t= 5.0 s, what are the magnitudes of the (a) angular velocity, (b) linear velocity, (c) tangential acceleration, and (d) radial acceleration?
An astronaut is being tested in a centrifuge. The centrifuge has a radius of 12.0 m and, in starting, rotates according to θ = 0.130t2, where t is in seconds and θ is in radians. When t = 2.60 s, what are the magnitudes of the astronaut's (a) angular velocity, (b) linear velocity, (c) tangential acceleration, and (d) radial acceleration?