small object of mass 0.500 kg is attached by a 0.840 m-long cord to a pin set into the surface of a frictionless table top. The object moves in a circle on the horizontal surface with a speed of 8.80 m/s. What is the magnitude of the radial acceleration of the object?

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 person drives a car around a circular, level cloverleaf with a radius of 85 m at a uniform speed of 10 m/sec. What is the acceleration of the car?

A light, rigid rod is 50.2 cm long. Its top end is pivoted on a frictionless horizontal axle. The rod hangs straight down at rest with a small, massive ball attached to its bottom end. You strike the ball, suddenly giving it a horizontal velocity so that it swings around in a full circle. What minimum speed at the bottom is required to make the ball go over the top of the circle? m/s

A car travels at a constant speed around a circular track whose radius is 3.51 km. The car goes once around the track in 259 s. What is the magnitude of the centripetal acceleration of the car?

A boat travels around a circular path, p = 40m, at a speed that increases with time. The boat has a velocity, v = 0.0625t2 m/s. Find the magnitudes of the boat's velocity and acceleration at the instant t= 10s. 6.52 m/s, 1.785 m/s^2 5.62 m/s, 5.781 m/s*2 5.26 m/s, 5.187 m/s^2 O 6.25 m/s, 1.587 m/s^2

A drag racer driving around a circular track has a centripetal acceleration of 5 m/s2 and a tangential acceleration of -2 m/s2. What is the magnitude of the total acceleration of the car?

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 runner taking part in the 200 m dash must run around the end of a track that has a circular arc with a radius of curvature of 35 m. The runner starts the race at a constant speed. If she completes the 200 m dash in 22.6 s and runs at constant speed throughout the race, what is the magnitude of her centripetal acceleration (in m/s2) as she runs the curved portion of the track?

A Ferris wheel with a radius of 24.0 m is turning about a horizontal axis through its center as shown in the figure. The speed of a passenger on the rim is constant and equal to 6.00 m/. What is the magnitude and direction of the passenger's acceleration as she passes through the (a) lowest point in her circular motion and by the highest point in her circular motion? (c) How much time does it take the Ferris wheel to make one revolution? (d) Include a diagram of the passenger on the Ferris wheel at both locations and clearly indicate both the velocity and acceleration vectors of the passenger in the diagram