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Question 18M.3.SL.TZ1.a

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Date May 2018 Marks available [Maximum mark: 2] Reference code 18M.3.SL.TZ1.a
Level SL Paper 3 Time zone TZ1
Command term Show that Question number a Adapted from N/A
a.
[Maximum mark: 2]
18M.3.SL.TZ1.a

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.

Show that the angular acceleration of the merry-go-round is 0.2 rad s–2.

[2]

Markscheme

Γ «= Fr = 50 × 2» = 100 «Nm»

α « = Γ I = 100 450  » =0.22 «rads–2»

 

Final value to at least 2 sig figs, OR clear working with substitution required for mark.

[2 marks]