Two uniform solid spheres have the same mass of 1.95 kg, but one has a radius of 0.249 m and the other has a radius of 0.861 m. Each can rotate about an axis through its center. (a) What is the magnitude T of the torque required to bring the smaller sphere from rest to an angular speed of 267 rad/s in 18.3 s? (b) What is the magnitude F of the force that must be applied tangentially at the sphere's equator to give that torque? What are the corresponding values of (c) T and (d) F for the larger sphere? (a) Number (b) Number (c) Number HI I HI Units Units Units <> <>

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Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.