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Solution for A Gear System Has the Driving Wheel of Radius 2 Cm and Driven Wheel of Radius 20 Cm. Find the Gear Ratio. If the Number of Rotations Made per Minute by the Driving Wheel is 100, Find the Number of Ro - ICSE Class 10 - Physics

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Question

A gear system has the driving wheel of radius 2 cm and driven wheel of radius 20 cm.
(a) Find the gear ratio.
(b) If the number of rotations made per minute by the driving wheel is 100, find the number of rotations per minute made by the driven wheel.
(c) If the driven wheel has 40 teeth, find the number of teeth in the driving wheel.

Solution

The radius of driving wheel rA = 2cm
The radius of driven wheel rB  = 20cm

(a) the gear ratio `r_A/r_B`  =  `2/20` = 1:10
(b) The number of rotations made per minute by the driving wheel is `n_a`= 100
      The number of rotations made per minute by the driven wheel 𝑛𝑏= `r_A/r_B`×𝑛𝑎  =  `2/20`×100=10
(a) Number of teeth in driven wheel nb = 40.

Number of teeth in driven wheel na =`"ra"/"rb"`× nb

                                                          ⇒`2 /20 xx40` = 4.

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Solution A Gear System Has the Driving Wheel of Radius 2 Cm and Driven Wheel of Radius 20 Cm. Find the Gear Ratio. If the Number of Rotations Made per Minute by the Driving Wheel is 100, Find the Number of Ro Concept: Concept of Machines Numercials.
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