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.
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- 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 40 m. The runner starts the race at a constant speed. If she completes the 200 m dash in 22.2 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? m/s?A particle is moving in a circle of radius R. At t = 0, it is located on the x-axis. The angle the particle makes with the positive x -axis is given by 0 = At² + Bt³ What is the magnitude of the tangential acceleration, atan of the particle at a time t > 0? Express your answer in terms of R, t, A, and B as needed. What is the magnitude of the radial acceleration, larad of the particle at a time t > 0? Express your answer in terms of R, t, A, and B as needed.A cyclist goes round a circular track, of radius 10 m, at a constant speed of 8.0 m s-1.What is the acceleration of the cyclist and what is its direction?
- 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 UnitsIn 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?
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