The differential gear of a car axle allows the wheel on the left side of a car to rotate at a different angular speed than the wheel on the right side. A car is driving at a constant speed around a circular track on level ground, completing each lap in 18.9 s. The distance between the tires on the left and right sides of the car is 1.50 m, and the radius of each wheel is 0.350 m. What is the difference between the angular speeds of wheels on the left and right sides of the car?
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 differential gear of a car axle allows the wheel on the left side of a car to rotate at a different angular speed than the wheel on the right side. A car is driving at a constant speed around a circular track on level ground, completing each lap in 18.9 s. The distance between the tires on the left and right sides of the car is 1.50 m, and the radius of each wheel is 0.350 m. What is the difference between the angular speeds of wheels on the left and right sides of the car?
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