A pitcher throws a curveball that reaches the catcher in 0.22 s. The ball curves because it is spinning at an average angular velocity of 428 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. Add your answer

A pitcher throws a curveball that reaches the catcher in 0.22 s. The ball curves because it is spinning at an average angular velocity of 428 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. Add your answer

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter10: Fixed-axis Rotation

Section: Chapter Questions

Problem 49P: A wind turbine is rotating conterclockwise at 0.5 rev/s and slows to a stop in 10 s. Its blades are...

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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?
During a 6.0-s time interval, a fly-wheel with a constant angular acceleration turns through 500 radians that acquire an angular velocity of 100 rad/s. (a) What is the angular velocity at the beginning of the 6.0 s? (b) What is the angular acceleration of the fly-wheel?
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.
(a) What is the angular speed of the second hand of a clock? (b) What is the direction of as you view a clock hanging on a vertical wall? (c) What is the magnitude of the angular acceleration vector of the second hand?
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?
A track star runs a 400-m race on a 400-m circular track in 45 s. What is his angular velocity assuming a constant speed?
Olympic ice skaters are able to spin at about 5 rev/s. (a) What is their angular velocity in radians per second? (b) What is the centripetal acceleration of the skater's nose if it is 0.120 m from the axis of rotation? (c) An exceptional skater named Dick Button was able to spin much faster in the 1950s than anyone since—at about 9 rev/s. What was the centripetal acceleration of the tip of his nose, assuming it is at 0.120 m radius? (d) Comment on the magnitudes of the accelerations found. It is reputed that Button ruptured small blood vessels during his spins.
A disk iwth a 0.45 m radius rotates from rest with a constant angular acceleration of 0.24 rad/s2,What angle in degrees has the disked rotated in the first 3.5 s?What is the magnitude of the acceleration of a point on the rim of the disk 3.5 after it started rotating?
An 8.0-cm diameter hard disk spinning at 7200 rpm can stop in 19 revolutions. a) What is the magnitude of the angular acceleration? Express your answer in radians per second squared. b) How long does it take the disk to come to a halt? Express your answer with the appropriate units.
A child sits on a merry‑go‑round that has a diameter of .5.00 m. The child uses her legs to push the merry‑go‑round, making it go from rest to an angular speed of 15.0 rpm in a time of 48.0 s. What is the average angular acceleration ?avgαavg of the merry‑go‑round in units of radians per second squared (rad/s2 )?What is the angular displacement Δθ of the merry‑go‑round, in units of radians (rad), during the time the child pushes the merry‑go‑round?What is the maximum tangential speed ?max of the child if she rides on the edge of the platform?
A CD originally spinning at 636.9 revolution per minute slows down uniformly until it comes to a full stop after 9.2 s. What is the magnitude of the angular acceleration of the disk during this period? Express answer in rad/s? and in 2 decimal places.
The ability of the human eye to rapidly rotate was studied using contact lenses fitted with accelerometers. While a subject, whose eyeball has radius 1.25 cm, watches a moving object her eyeball rotates through 20.0° in a time interval of 69.6 ms. a. What is the magnitude of the average angular velocity of the eye? asnwer in rad/s b. Assume that the eye starts at rest, rotates with a constant angular acceleration during the first half of the interval, and then the rotation slows with a constant angular acceleration during the second half until it comes to rest. What is the magnitude of the angular acceleration of the eye? answer in rad/s^2 c. What tangential acceleration would the contact-lens accelerometers record in this case? answer in m/s^2