Principle of Mathematical Induction

Principle of Mathematical Induction

Question

A wheel rotates through an angle of straight pi over 30 radians in one second. How many revolutions will it make in 5 minutes?

Answer

Radian measure of an angle turned in one second  = open parentheses straight pi over 30 close parentheses to the power of straight c
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∴  Number of revolutions in one second = 6 over 360 space equals space 1 over 60
  Hence, the number of revolutions in 5 minutes  = space space 1 over 60 space cross times space 60 space cross times space 5 space equals space 5

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