The number of revolutions in 3π radians is:
Correct answer: B. 3/2
- A. 1/60
- B. 3/2
- C. 2
- D. 6
Explanation
As we know that: 2π radians is equal to one revolution and 3π radians to x revolutions. Using the proportion, we can solve for x (2π radians / one revolution) = (3π radians) / (x revolutions) Cross multiplying: 2πx = 3π Dividing both sides by 2π: x = 3π / 2π x = 3 / 2 Therefore, the number of revolutions in 3π radians is 3/2.
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About Angular Displacement
Angular displacement measures the change in a body’s angular position and is expressed in radians or degrees, with anticlockwise and clockwise directions assigned signs. It connects to arc length, angular velocity and angular acceleration, and must be distinguished from ordinary linear displacement in rotational motion.
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