(a) If you decide to ride your motorbike in a counter-clockwise direction as your speed increases your rotational speed increases, decreases or remain the same (B)how fast would you have to be going in what direction to experience weightlessness

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Rotational speed is the number of complete rotations or revolutions per unit time. It is related to linear speed as:

`omega= v/r`

So, when you decide to ride your motorbike in a counter-clockwise direction, your v increases, and so do omega. In other words, as your speed increases your rotational speed also increases.

In order to experience weightlessness, the centrifugal force should be equal to the weight, mg.

Let v be the required speed and the radius of the circular path of rotation be r.

So, `(mv^2)/r=mg`

`rArr v=sqrt(gr)`

The centrifugal force is independent of direction of rotation, hence rotation with the minimum speed of `sqrt(gr)` in either direction would make you feel weightless.

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