If a wheel turns with constant angular speed then A)each point on it m...
**Constant Angular Speed**
When a wheel turns with constant angular speed, it means that it rotates at the same rate throughout its motion. This implies that the wheel covers equal angular displacements in equal time intervals. Let's explore the implications of this constant angular speed on the motion of points on the wheel.
**A) Each point on it moves with constant speed**
If the wheel turns with constant angular speed, each point on the wheel will not move with a constant linear speed. This is because the linear speed of a point on a rotating object depends on its distance from the axis of rotation. Points farther from the axis will have a greater linear speed, while points closer to the axis will have a lower linear speed. Therefore, option A is incorrect.
**B) Each point on it moves with constant acceleration**
Since the wheel turns with constant angular speed, the points on the wheel experience a changing direction of motion. The direction of motion of a point on the wheel is constantly changing as it moves in a circular path. This change in direction implies a non-zero acceleration, even though the magnitude of the linear speed remains constant. Therefore, option B is correct.
**C) The angle through which the wheel turns in each second decreases as time goes on**
If the wheel turns with constant angular speed, the angle through which the wheel turns in each second remains constant. This is because the angular speed is constant, implying that equal angles are covered in equal time intervals. Therefore, option C is incorrect.
**D) The wheel turns through equal angles in equal times**
As mentioned earlier, when a wheel turns with constant angular speed, it covers equal angular displacements in equal time intervals. This means that the wheel turns through equal angles in equal times. Therefore, option D is correct.
In conclusion, when a wheel turns with constant angular speed, each point on it moves with constant acceleration (option B) and the wheel turns through equal angles in equal times (option D).
If a wheel turns with constant angular speed then A)each point on it m...
As it moves with constant angular speed it's angular acceleration is 0.
so the net acceleration is only the tranverse acceleration.
i.e. remain constant through out motion.
so at every point acceleration is constant
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