A mass moves on a circular path of radius 2 m at constant speed 4m/s, what is the magnitude and direction of the average acceleration during a quarter of a revolution?

Answer 1

#abs ( vec a) = 8 m/s^2# in direction #- hat r#

at constant speed, the acceleration throughout is

#vec a = - v^2/r hat r = - 4^2/2 hat r = - 8 hat r#
so #abs ( vec a) = 8 m/s^2# and it is in direction #- hat r#, ie inward radial.
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Answer 2

The magnitude of the average acceleration during a quarter of a revolution is 8 m/s², directed towards the center of the circle.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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