Circular Motion Graph#

The angular velocity of an object in circular motion at a distance \(r =\) 6 \(\rm{m}\) 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.

Answer Section#

  • \(t = 0\rm{s} \) 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.

Answer Section#

  • \(t = 0\rm{s} \) 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 \(t = 2 \rm{s}\).

Answer Section#

Please enter in a numeric value.

Part 4#

Find the magnitude of the centripetal acceleration at \(t = \) 0.1 \(\rm{s}\).

Answer Section#

Please enter in a numeric value.

Part 5#

Find the tangential acceleration at \(t = \) 0.1 \(\rm{s}\).

Answer Section#

Please enter in a numeric value.

Part 6#

Find the magnitude of the total acceleration at \(t = \) 0.1 \(\rm{s}\).

Answer Section#

Please enter in a numeric value.

Part 7#

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

Answer Section#

  • 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?

Answer Section#

  • 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 \(t = 1 \rm{s}\)?

Answer Section#

Please enter in a numeric value.

Attribution#

Problem is licensed under the CC-BY-NC-SA 4.0 license.
The Creative Commons 4.0 license requiring attribution-BY, non-commercial-NC, and share-alike-SA license.