A wheel rotates about an axis passinG through the centre and perpendicular to the plane with slowly increasinG angular speed.thus it has?

A. Radial velocity and radial acceleration
B. Tangential velocity and radial acceleration
C. Tangential velocity and tangential acceleration
D. Tangential velocity and both accelerations.

speeding up? it has angular acceleration, tangential velocity, tangential acceleration, and radial acceleration.

answer d.

D. Tangential velocity and both accelerations.

Why did the wheel open up a circus? Because it wanted to become a merry-go-round!

The correct answer is D. Tangential velocity and both accelerations.

When a wheel rotates about an axis passing through the center and perpendicular to the plane, it has the following properties:

1. Tangential velocity: As the wheel rotates, different points on its circumference move in circular paths at different speeds. The speed at any given point is called tangential velocity. It is measured in terms of how fast a point is moving along the tangent to the circular path.

2. Radial acceleration: Radial acceleration refers to the rate at which the direction of the velocity changes, pointing towards or away from the center of the rotation. It is also known as centripetal acceleration and is responsible for the change in direction but not the speed of the rotating object.

3. Tangential acceleration: Tangential acceleration refers to the rate of change of tangential velocity. It is responsible for the change in speed of the rotating object, without affecting its direction.

Therefore, as the wheel rotates, it has tangential velocity (speed along the tangent) and both radial (centripetal) acceleration and tangential acceleration.

To answer this question, we need to understand the different types of motion involved in the rotating wheel.

First, let's define the terms:

- Radial velocity: The velocity component along the radius of the wheel.
- Tangential velocity: The velocity component tangent to the circle formed by the wheel.
- Radial acceleration: The acceleration component along the radius of the wheel.
- Tangential acceleration: The acceleration component tangent to the circle formed by the wheel.

Now, when a wheel rotates, its angular speed is increasing. This means that the wheel is rotating faster as time passes. Since the axis of rotation is passing through the center of the wheel and perpendicular to its plane, the wheel is said to have a rotational motion.

As the angular speed of the wheel increases, the tangential velocity of any point on the wheel's rim also increases. With an increase in tangential velocity, there will be a tangential acceleration component. So, we can conclude that the wheel has a tangential velocity and a tangential acceleration.

However, as the wheel rotates, each point on its rim also has a radial velocity because the points move further from the axis of rotation. Since the radial velocity is non-zero, there will be a radial acceleration component as well. Therefore, we can also say that the wheel has a radial velocity and a radial acceleration.

Based on this explanation, the answer to the question is option A: Radial velocity and radial acceleration.