A pitcher throws a curveball that reaches the catcher in 0.75 s. The ball curves because it is spinning at an average angular velocity of 395 rev/min (assumed constant) on its way to the catcher's mitt. What is the angular displacement of the baseball (in radians) as it travels from the pitcher to the catcher? Note: Express your answer in whole numbers. No unit is required for the final answer. Set your calculator in radians. Round your answer to 0 decimal places.

A motorcyclist is traveling along a road and accelerates for 4.22s to pass another cyclist . The angular acceleration of each wheel is +7.60 rad/s, and , just after passing, the angular velocity of each is +73.4 rad/s where the plus signs indicate counterclockwise directions. What is the angular displacement of each wheel during this time?

A wheel, initially rotating at 15.4 rad/s, undergoes an angular acceleration of 5.5 rad/s^2. What is the angular velocity when the wheel has turned through an angle of 69.0 rad? Give your answer in rad/s.

An amusement park ride rotates around a fixed axis such that the angular position of a point on the ride follows the equation: θ(t) = a + bt2 – ct3 where a = 2.1 rad, b = 0.75 rad/s2 and c = 0.035 rad/s3. a. Determine an equation for the angular speed of the ride as a function of time, omega(t). Write your answet using the symbols a, b, and c, instead of their numerical values. b. Besides at t = 0, at what time t1 is the ride stopped? Give your answer in seconds. c. What is the magnitude of the angular displacement of the ride in radians between times t = 0 and t = t1? d. Determine an equation for the angular acceleration of the ride as a function of time, alpha(t). Write your answer using the symbols a, b, and c, instead of their numerical values.  e. What is the angular acceleration in rad/s^2 when the ride is at rest t = t1?

A child is riding a merry-go-round, which has an angular speed of 2.15 rad/s and an angular acceleration of 0.85 rad/s2  . The child is standing 3.465 m from the center of the merry-go-round. What is the magnitude of the acceleration of the child?   A child is riding a merry-go-round, which has an angular speed of 2.15 rad/s and an angular acceleration of 0.85 rad/s2  . The child is standing 3.465 m from the center of the merry-go-round. What is the magnitude of the acceleration of the child?   7.04 m/s2 8.05 m/s2 9.62 m/s2 18.05 m/s2 16.29 m/s2   Next QuestionNext

A ball of radius 0.200 m rolls with a constant linear speed of 2.65 m/s along a horizontal table. The ball rolls off the edge and falls a vertical distance of 2.30 m before hitting the floor. What is the angular displacement of the ball while the ball is in the air?

A person is riding a bike around a corner (radius = 3 m) with a angular acceleration of 42 degrees/sec^2 and a final angular velocity of 172 degree/s. What is the magnitude of the radial acceleration at the end of the curve (final position)? (hint: find the radians)

A figure skater performs a twisting jump. She rotates around her longitudinal axis 2 times in 0.65 s.  What was her average angular velocity in radians/second? A   720rad/s  B   19.3rad/s C   4? rad/s D   9.67 rad/s E   1107 rad/s

Item 22 Through what total angle did the wheel turn between t = 0 and the time it stopped? Express your answer in radians. At t = 0 a grinding wheel has an angular velocity of 24.0 rad/s. It has a constant angular acceleration of 26.0 rad/s? until a circuit breaker trips at time t = 1.70 s. From then on, it turns through an angle 431 rad as it coasts to a stop at constant angular acceleration. Πνα ΑΣφ rad Submit Previous Answers Request Answer X Incorrect; Try Again; 4 attempts remaining Part B At what time did it stop? Express your answer in seconds. ? t = Submit Request Answer Part C What was its acceleration as it slowed down? Express your answer in radians per second squared. Hνα ΑΣφ ? a = rad/s?

A ball of radius0.226 m rolls along a horizontal tabletop with a constant linear speed of 5.36 m/s. The ball rolls off the edge and falls a vertical distance of 2.47 m before hitting the floor.  What is the angular displacement of the ball while it is in the air? Use g=9.8