A child is swinging a 0.300-kg ball on a string. She is swinging it in a circle with an angular velocity of 25.0 radians/sec. The radius of the circular path is 24.8 cm. Suddenly she starts speeding the ball up with an angular acceleration is 0.410 rad/s². The string has a tensile strength (breaking point) of 200 Newtons. How many complete turns will the ball make before the string breaks?

A child is swinging a 0.300-kg ball on a string. She is swinging it in a circle with an angular velocity of 25.0 radians/sec. The radius of the circular path is 24.8 cm. Suddenly she starts speeding the ball up with an angular acceleration is 0.410 rad/s². The string has a tensile strength (breaking point) of 200 Newtons. How many complete turns will the ball make before the string breaks?

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

Chapter3: Motion In Two Dimensions

Section: Chapter Questions

Problem 30P: A point on a rotating turntable 20.0 cm from the center accelerates from rest to a final speed of...

See similar textbooks

Similar questions

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.
Two small 1.0 kgkg masses connected by massless but rigid 1.0-mm-long rods. What is the tension in the rod that connects to the pivot if the masses rotate at 39 rpmrpm in a horizontal circle?
The blades in a blender rotate at a rate of 6200 rpmrpm . When the motor is turned off during operation, the blades slow to rest in 2.6 s. What is the angular acceleration as the blades slow down?
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?
A truck with 0.350 m radius tires travels at 35.5 m/s. At how many radians per second are the tires rotating? rad/sWhat is this value in rpm?
The period of a stone swung in a horizontal circle on a 2.50-m radius is 1.20 s. (a) What is its angular velocity in rad/s? (b) What is its linear speed in m/s? (c) What is its radial acceleration in m/s2?
If a centrifuge has an inital angular velocity of 20 rotations per second and and a constant angular acceleration of 15 rad/s2 how fast is it rotating after 25 rotations in rotations per second.
An automobile with 0.300 m radius tires travels 70,000 km before wearing them out. How many revolutions do the tires make, neglecting any backing up and any change in radius due to wear? x revolutions A truck with O.600 m radius tires travels at 29.0 m/s. At how many radians per second are the tires rotating? What is this in rpm? гad/s rpm
Disk B is at rest when it is brought into contact with disk A which is rotating freely at 450 rpm clockwise. After 6 s of slippage, during which each disk has a constant angular acceleration, disk A reaches a final angular velocity of 140 rpm clockwise. Determine the angu- lar acceleration of each disk during the period of slippage. A 3 in. B 5 in.
A turntable is off and is not spinning. A 0.2 g ant is on the disc and is 5 cm away from the center. The turntable is turned on and 0.6 s later it has an angular speed of 33 rpm. Assume the angular acceleration is constant and determine the following quantities for the ant 0.3 s after the turntable has been turned on. Express all quantities using appropriate mks units. @= V= Enter a number ih units. atan = arad = a = Fnet =
The blades in a blender rotate at a rate of 6300 rpm. When the motor is turned off during operation, the blades slow to rest in 3.4 s. What is the angular acceleration as the blades slow down?
The angular acceleration ?, rad/s2 of arotating disk is related to its angular velocity?, rad/s by ? = 4 √?. When t = 0, the disk isat rest and the angular position coordinateof a line in the disk is θ = 8rad. Find theexpression for θ(?).