Angular Displacement | MCQs

Explanation

Explanation

The correct answer is:  All of the above

A complete revolution corresponds to an angular displacement of:

• 360°

• $2\pi$ radians

So, for 2 complete revolutions:

• Degrees: $2\times 360°=720°$

• Radians: $2 times 2pi = 4pi$ radians

• Approximate radians:

  $$4\pi \approx 4\times 3.14=12.56\text{ radians (rounded to 12.6)}$$

Explanation

 Angle in radians (θ) = Arc Length / Radius  

θ = 4 m / 2 m = 2 radians

So, the angle made at the center is 2 rad

Explanation

For a rigid body that rotates about a fixed axis, the angle swept out by a line passing through any point on the body and intersecting the axis of rotation perpendicularly is called angular displacement.

Explanation

To find the total number of radians through which a point on a wheel has rotated, we can use the fact that one complete revolution corresponds to 2π radians.

For 3 complete revolutions, the total radians can be calculated as follows:

Total radians=Number of revolutions×2π

Total radians=3×2π=6π