Question 3
A particle is following a circular path and is observed to have an angular displacement of 10.3°.
(a) Express this angle in radians (rad). Show your working and give your answer to three significant figures. [2]
(b) (i) Determine tan10.3° to three significant figures.
(ii) Hence calculate the percentage error that is made when the angle 10.3°, as measured in radians, is assumed to be equal to tan10.3°.
[3]
Reference: Past Exam Paper – November 2004 Paper 4 Q1
Solution:
(a)
θ (rad) = 2π × (10.3/360)
θ (rad) = 0.180 rad
(b) (i) tan θ = 0.182
(ii)
{Difference between θ and tanθ = 0.182 – 0.180 = 0.002}
percentage error = (0.002/0.180) x 100
percentage error = 1.1 (%)
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