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.
1. A 1800 kg car's tires have a coefficient of friction equal to 0.35 m on wet asphalt. What is the fastest that this car can drive along a flat turn with a radius of 250 m without slipping? Show your work!
(a) How would the speed change if the car had a mass of 3600 kg instead? Show your work.
(b) How would the speed change if the roads were slanted? Would the possible speed be higher or lower? Show your work.
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