Date | November 2020 | Marks available | 2 | Reference code | 20N.3.SL.TZ0.6 |
Level | Standard level | Paper | Paper 3 | Time zone | 0 - no time zone |
Command term | Show that | Question number | 6 | Adapted from | N/A |
Question
A bar rotates horizontally about its centre, reaching a maximum angular velocity in six complete rotations from rest. The bar has a constant angular acceleration of 0.110 rad s-2. The moment of inertia of the bar about the axis of rotation is 0.0216 kg m2.
Show that the final angular velocity of the bar is about 3 rad s-1.
Draw the variation with time t of the angular displacement θ of the bar during the acceleration.
Calculate the torque acting on the bar while it is accelerating.
The torque is removed. The bar comes to rest in 30 complete rotations with constant angular deceleration. Determine the time taken for the bar to come to rest.
Markscheme
ωf2=0+2×0.110×6×2π ✓
ωf=2.88 «rad s-1» ✓
Other methods are possible.
Answer 3 given so look for correct working
At least 2 sig figs for MP2.
concave up from origin ✓
Γ=«I α so Γ=0.110×0.0216=» 2.38×10-3 «N m» ✓
α=2.922×2π×30= OR -0.022 «rad s-2» ✓
t «=ωf-ωiα=-2.9-0.0220»=130«s»✓
Other methods are possible.
Allow 131 s if 2.88 used
Allow 126 s if 3 used
Award [2] marks for a bald correct answer