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Question 18M.3.SL.TZ1.6b.i

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Date May 2018 Marks available [Maximum mark: 1] Reference code 18M.3.SL.TZ1.6b.i
Level SL Paper 3 Time zone TZ1
Command term Calculate Question number b.i Adapted from N/A
b.i.
[Maximum mark: 1]
18M.3.SL.TZ1.6b.i

A constant force of 50.0 N is applied tangentially to the outer edge of a merry-go-round. The following diagram shows the view from above.

M18/4/PHYSI/SP3/ENG/TZ1/06

The merry-go-round has a moment of inertia of 450 kg m2 about a vertical axis. The merry-go-round has a diameter of 4.00 m.

The merry-go-round starts from rest and the force is applied for one complete revolution.

(b.i)

Calculate, for the merry-go-round after one revolution, the angular speed. 

[1]

Markscheme

« ω t 2 − ω 0 2 = 2 α Δ θ »

« ω t 2 − 0 = 2 × 0.22 × 2 π »

ω t = 1.7 «rads–1»

 

Accept BCA, values in the range: 1.57 to 1.70.

[1 mark]

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