A father fashions a swing for his children out of a long rope that he fastens to the limb of a tall tree. As one of the children swings from this rope that is 8.30 m long, his tangential speed at the bottom of the swing is 7.85 m/s. What is the centripetal acceleration, in m/s2, of the child at the bottom of the swing?

A fast-pitch softball pitcher with an arm 0.65m long executes a pitch in 0.5 seconds. At the instant of release the tangential velocity of the ball is 26m/s. What is the magnitude of the centripetal acceleration at ball release?

A young boy swings a yo-yo horizontally above his head so that the yo-yo has a cen- tripetal acceleration of 220 m/s². If the yo-yo's string is 0.26 m long, what is the yo-yo's tangential speed? Answer in units of m/s.

Helicopter blades withstand tremendous stresses. In addition to supporting the weight of a helicopter, they are spun at rapid rates and experience large centripetal accelerations, especially at the tip. A. Calculate the magnitude (in m/s2) of the centripetal acceleration at the tip of a 3.40 m long helicopter blade that rotates at 240 rev/min. B.  Compare the linear speed of the tip with the speed of sound (taken to be 340 m/s). Vtip/VSound =

A planet travels in a circular orbit around a star. The radius of the circular orbit is 3.01×1011 m and the orbital period is 4.27 years.  What is the magnitude of the centripetal acceleration of the planet, in m/s2?

In the movie Kill Bill the character Gogo Yubari fights with a meteor hammer, which is a bladed metal sphere on the end of a chain.  Let’s assume Gogo is spinning the meteor hammer in a vertical spin, as shown below, with a radius of motion as 1 m. She spins the weapon at 18 m/s.  Gogo then lets out more chain, increasing the radius to 1.62 m.  What is the new velocity of her weapon?

A sprinter participating in the 200 m dash has to run around a track that has a circular arc with a radius of curvature of 26 m.  She completes the 200 m dash in 22.8 seconds at constant speed throughout the race. a) What is the magnitude of her centripetal acceleration in m/s2 as she runs the curved portion of the track?  b) What is the magnitude of her tangential acceleration in m/s2 as she runs the curved portion of the track?   c) What is the magnitude of her angular acceleration in rad/s2 as she runs the curved portion of the track?   d) What is the magnitude of her resultant linear acceleration in m/s2 as she runs the curved portion of the track?

A flywheel of 22 cm is rotating counterclockwise about an axle at an angular speed of 1950 rpm. What is the vector expression for the centripetal acceleration (in m/s²) of a point that is located at a distance 13.2 cm from the center along a ray that makes an angle 155 degrees with the horizontal? Answer x-component= 5.02 Response mismatch -Answer· y-component= -2.34 Response mismatch

A fairground ride spins its occupants inside a flying saucer-shaped container. If the horizontal circular path the riders follow has a 4.33 m radius, if the riders is subjected to a centripetal acceleration 3.9 times that due to gravity, what is the spinning speed in unit of revolutions per minute? Use g = 9.8 m/s2.

A ball travels in uniform circular motion with a Period of 2 seconds. What is the tangential velocity of the object if it is moving in a circle of radius 2 m? 2π m/s m/s 4π m/s 2 m/s 4 m/s