When Mary is 3.00 m from the center of a merry-go-round, her tangential speed is
ID: 2240453 • Letter: W
Question
When Mary is 3.00 m from the center of a merry-go-round, her tangential speed is a constant 1.88 m/s.
(a) What is her angular speed in rad/s?
(b) What is the magnitude of her linear acceleration?
A bowling ball of mass 7.5 kg and diameter 18 cm rolls without slipping down a 10-m bowling lane with a constant speed 4.3 m/s.
(a) Through what angle does the bowling ball turn as it travels the length of the lane?
(b) What is the angular speed of the bowling ball?
(c) Calculate the maximum radial acceleration that a point on the surface of the bowling ball could have.
(d) Calculate the tangential acceleration of a point on the surface of the bowling ball.
A solid uniform disk is rolling without slipping along a horizontal surface with a speed of 4.5 m/s when it starts up a ramp that makes an angle of 25
When Mary is 3.00 m from the center of a merry-go-round, her tangential speed is a constant 1.88 m/s. What is her angular speed in rad/s? What is the magnitude of her linear acceleration? A bowling ball of mass 7.5 kg and diameter 18 cm rolls without slipping down a 10-m bowling lane with a constant speed 4.3 m/s. Through what angle does the bowling ball turn as it travels the length of the lane? What is the angular speed of the bowling ball? Calculate the maximum radial acceleration that a point on the surface of the bowling ball could have. Calculate the tangential acceleration of a point on the surface of the bowling ball. A solid uniform disk is rolling without slipping along a horizontal surface with a speed of 4.5 m/s when it starts up a ramp that makes an angle of 25 degree with the horizontal. What is the speed of the disk after it has rolled 3.0 m up as measured along the surface of the ramp?Explanation / Answer
A bowling ball of mass 7.5 kg and diameter 18 cm rolls without slipping down a 10-m bowling lane with a constant speed 4.3 m/s.
(a) Through what angle does the bowling ball turn as it travels the length of the lane?
(b) What is the angular speed of the bowling ball?
(c) Calculate the maximum radial acceleration that a point on the surface of the bowling ball could have.
(d) Calculate the tangential acceleration of a point on the surface of the bowling ball.
no of rotations by the ball = 10/2?R
angular displace ment = no of rotations x 2? = 10/R = 10/0.9 = 111.11 rad
angular velocity = 4.3 /R = 47.77 rad/s
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