The rotor of an electric motor has rotational inertia Im about its central axis. The motor is used to change the orientation of the space probe in which it is mounted. The motor axis is mounted along the central axis of the probe; the probe has rotational inertia Ip about this axis. Calculate the number of revolutions of the rotor required to turn the probe through angle θ (measured in radians) about its central axis. State your answer in terms of the given variables, using π when appropriate.
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.
The rotor of an electric motor has rotational inertia Im about its central axis. The motor is used to change the orientation of the space probe in which it is mounted. The motor axis is mounted along the central axis of the probe; the probe has rotational inertia Ip about this axis. Calculate the number of revolutions of the rotor required to turn the probe through angle θ (measured in radians) about its central axis. State your answer in terms of the given variables, using π when appropriate.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
