In testing an automobile tire for proper alignment, a technician marks a spot on the tire 0.230 m from the center. He then mounts the tire in a vertical plane and notes that the radius vector to the spot is at an angle of 33.0° with the horizontal. Starting from rest, the tire is spun rapidly with a constant angular acceleration of 1.60 rad/s2.(Assume the spot's position is initially positive, and assume the angular acceleration is in the positive direction.) (a) What is the angular speed of the wheel after 1.20 s? rad/s (b) What is the tangential speed of the spot after 1.20 s? m/s (c) What is the magnitude of the total acceleration of the spot after 1.20 s? m/s2 (d) What is the angular position of the spot after 1.20 s?

Chapter 10, Problem 057 GO A pulley, with a rotational inertia of 7.7 x 104 kg-m2 about its axle and a radius of 12 cm, is acted on by a force applied tangentiallý at its rim. The force magnitude varies in time as F = 0.80t + 0.30t, with F in newtons and t in seconds. The pulley is initially at rest. At t = 3.8 s what are (a) its angular acceleration and (b) its angular speed? (a) Number Units (b) Number Units Click if you would like to Show Work for this question: Open Show Work

A 40.0-cm diameter disk rotates with a constant angular acceleration of 2.90 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 = 2.50 s, find the angular speed of the wheel. rad/s(b) At t = 2.50 s, find the magnitude of the linear velocity and tangential acceleration of P. linear velocity      m/s tangential acceleration      m/s2 (c) At t = 2.50 s, find the position of P (in degrees, with respect to the positive x-axis). ° counterclockwise from the +x-axis

The blades on an electric blender are moving with an angular velocity of 296.8 radians/s. When the blend button is pressed, the blades accelerate at a constant value of 302.7 rdians/s^2. Find the angular velocity of the blades after they have moved through an angular displacement of 75.9 rad (radians) with this angular acceleration. Note the unit of radians is abbreviated as rad.

A fan blade is rotating with a constant angular acceleration of +12.9 rad/s2. At what point on the blade, as measured from the axis of rotation, does the magnitude of the tangential acceleration equal that of the acceleration due to gravity?

At time t=0, the angular velocity of a wheel is 4.55 rad/s. The wheel is accelerating with constant angular acceleration -7.42 rad/s2. After 0.386 s, find the magnitude of the linear acceleration (in m/s2) of a point on the wheel a distance 0.500 m from the axis of rotation.

A centrifuge in a medical laboratory rotates at an angular speed of 3,400 rev/min. When switched off, it rotates through 48.0 revolutions before coming to rest. Find the constant angular acceleration (in rad/s2) of the centrifuge.

Starting from rest, an airplane propeller begins to rotate with an angular acceleration a = 0.0600 rad/s2. The propeller radius is 60.0 cm. After exactly 4.00 seconds, calculate the total linear acceleration of the tip of the propeller. (The total linear acceleration is the vector combination of the tangential acceleration and the centripetal acceleration.) r= 60.0 cm

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. Answer parts a-c.

A 42.0-cm diameter disk rotates with a constant angular acceleration of 3.00 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 = 2.32 s, find the angular speed of the wheel. rad/s (b) At t = 2.32 s, find the magnitude of the linear velocity and tangential acceleration of P. linear velocity             m/s tangential acceleration             m/s2 (c) At t = 2.32 s, find the position of P (in degrees, with respect to the positive x-axis). _________° counterclockwise from the +x-axis