A design for a handle for the tonearm is shown below. Tangency was used to create the design.
a.Calculate the two radii required to find the centre point for Arc X. (2 marks)b. Calculate the two radii required to find the centre point for Arc Y. (2 marks)
Answers
a.
15 – 1.5 = 13.5
15 – 2.5 = 12.5
b.
4 + 1.5 = 5.5
4 + 2.5 = 6.5
Question 2
The toy flag component was modelled using tangency.a.Explain the term tangency. You may use sketches to illustrate your answer. (1 mark)b. Calculate the distance from the centre of arc A to the centre of arc B. (1 mark)c. Calculate the distance from the centre of arc A to the centre of arc C. (1 mark)
Answers
a.
When two circles/arcs connect at a single point
When two circles/arcs connect but do not overlap
The smooth transition from one arc to the next
The smooth transition from an arc to a straight line (or vice versa)
A sketch depicting these descriptions that clearly identifies a tangent point would also be accepted.b.
8
c.
17
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