1. A hamster running in a wheel of radius 14 cm spins the wheel at 43 revolutions per minute. Give exact answers, using ππ for each question. a) What is the angular velocity of the wheel? (in radians/sec) b) At what linear velocity is the hamster running? (in cm/sec) 2. Find the area of the sector of a circle with radius 4 miles formed by a central angle of π3π3 radians. Give your answer in terms of pi. 3. Find the area of the sector of a circle with radius 9 miles formed by a central angle of 170°
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 hamster running in a wheel of radius 14 cm spins the wheel at 43 revolutions per minute. Give exact answers, using ππ for each question.
a) What is the
b) At what linear velocity is the hamster running? (in cm/sec)
2. Find the area of the sector of a circle with radius 4 miles formed by a central angle of π3π3 radians. Give your answer in terms of pi.
3. Find the area of the sector of a circle with radius 9 miles formed by a central angle of 170°
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