Problem 5. An object moves on a circular path such that its distance covered is given by the function: s=0.512 m+21 m. The ratio of the magnitudes of its accelerations at times t =2s and t2=5s is 1:2. Find the radius of the circle.

A boy whirls a stone in a horizontal circle of radius 1.46 m and at height 2.29 mabove level ground. The string breaks, and the stone flies off horizontally and strikes the ground after traveling a horizontal distance of 8.57 m. What is the magnitude of the centripetal acceleration of the stone while in circular motion? Use g=9.81 m/s². Number Units

In a laboratory test of tolerance for high acceleration, a pilot is swung in a circle 15.0 m in diameter. It is found that the pilot blacks out when he is spun at 30.6 rpm (rev/min). At what acceleration (in SI units) does the pilot black out? acceleration: 77.01 m/s? Express this acceleration in terms of a multiple of g. acceleration as a multiple of g: 7.858 If you want to decrease the acceleration by 22.0% without changing the diameter of the circle, by what percent must you change the time for the pilot to make one circle? percent of time change:

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?

We know that the moon Callisto revolves around Jupiter during a period of 17.0 days.17.0 days. The average distance from the center of Jupiter to the center of Callisto is 1.95×109 m.1.95×109 m. What is the acceleration ?a of Callisto due to its motion around Jupiter?

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 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

A woman rides a carnival Ferris wheel at radius 18 m, completing 4.8 turns about its horizontal axis every minute. What are (a) the period of the motion, and the magnitude of her centripetal acceleration at (b) the highest point and (c) the lowest point? (a) Number i Units (b) Number i Units (c) Number i Units

V01