Q1.
A spiral is made up of successive semicircles, with centres alternately at A and B, starting with centre at A, of radii 0.5 cm, 1.0 cm, 1.5 cm, 2.0 cm, ... as shown in Figure. What is the total length of such a spiral made up of thirteen consecutive semicircles (Take π= 22 / 7)
[Hint: Length of successive semicircles is 1, 12, 13, 14, ... with centres at A, B, A, B,..., respectively.]
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Answer:
The velocity of an object is the rate of change of its position with respect to a frame of reference, and is a function of time. Velocity is equivalent to a specification of an object's speed and direction of motion
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Step-by-step explanation:
Circumference of first semicircle = πr=0.5π
Circumference of second semicircle = πr=π
Circumference of third semicircle = πr=1.5π
It is clear that a=0.5π, d=0.5π and n=13
Hence, length of spiral can be calculated as follows:
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