Moderate

A car moves with a uniform speed of 2 m/s in a circle of radius 0.4 m. Its angular speed in rad/sec is:

Correct answer: D. 5

  • A. 0.8
  • B. 1.6
  • C. 4
  • D. 5

Explanation

In this question, we are dealing with motion in two dimensions, specifically circular motion. Angular speed (ω) is the rate of change of angular displacement with respect to time. It is calculated using the formula ω=v/r, where v is the linear speed of the object and r is the radius of the circle. Given that the car has a uniform speed of 2 m/s and the radius of the circle is 0.4 m, we can substitute these values into the formula: ω=2 m/s / 0.4 m = 5 rad/sec. Therefore, the angular speed of the car in rad/sec is 5. The incorrect options provide values that do not align with the correct calculation based on the formula provided.

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About Force and Motion

Displacement, velocity and acceleration describe motion, including the horizontal and vertical components of projectile motion. The chapter connects these quantities with Newton's laws, momentum and impulse, then applies conservation of momentum to collisions, distinguishing elastic collisions from inelastic ones.

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