# Circular Motion Graph#

The angular velocity of an object in circular motion at a distance $$r =$$ 4 $$\rm{m}$$ from the point of rotation is shown in Fig. 1.

## Part 1#

Choose the option which correctly states at which times the object is speeding up and the sign of its angular acceleration during this period.

• $$t = 0\rm{s}$$ to $$t = 1\rm{s}$$, positive

• $$t = 0\rm{s}$$ to $$t = 2\rm{s}$$, positive

• $$t = 1\rm{s}$$ to $$t = 2\rm{s}$$, positive

• $$t = 2\rm{s}$$ to $$t = 3\rm{s}$$, positive

• $$t = 0\rm{s}$$ to $$t = 2\rm{s}$$, negative

## Part 2#

Choose the option which correctly states at which times the object is slowing down and the sign of its angular acceleration during this period.

• $$t = 0\rm{s}$$ to $$t = 1\rm{s}$$, positive

• $$t = 0\rm{s}$$ to $$t = 2\rm{s}$$, positive

• $$t = 1\rm{s}$$ to $$t = 2\rm{s}$$, positive

• $$t = 2\rm{s}$$ to $$t = 3\rm{s}$$, positive

• $$t = 0\rm{s}$$ to $$t = 2\rm{s}$$, negative

## Part 3#

Find the speed of the object at $$t = 2 \rm{s}$$.

Please enter in a numeric value.

## Part 4#

Find the magnitude of the centripetal acceleration at $$t =$$ 0.8 $$\rm{s}$$.

Please enter in a numeric value.

## Part 5#

Find the tangential acceleration at $$t =$$ 0.8 $$\rm{s}$$.

Please enter in a numeric value.

## Part 6#

Find the magnitude of the total acceleration at $$t =$$ 0.8 $$\rm{s}$$.

Please enter in a numeric value.

## Part 7#

At $$t = 1 \rm{s}$$, what is the direction of the acceleration?

• Tangential to the circle

• Radially inwards to the centre of the circle

• Radially outwards to the centre of the circle

## Part 8#

At $$t = 2.5 \rm{s}$$, what is the direction of the acceleration?

• Tangential to the circle

• Radially inwards to the centre of the circle

• Radially outwards to the centre of the circle

## Part 9#

What is the angular displacement from $$t = 0 \rm{s}$$, to $$t = 1 \rm{s}$$?