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Figure shows a wheel rotating about Q2. Two points A and B located along the radius of wheel have speeds of 80 m/s and 140 m/s respectively. The distance between the points A and B is 300 mm. The diameter of the wheel (in mm) is ______.
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- 1400
- 1500
- 1600
- 1700
Correct Option: A
VA = 80 m/s, VB = 140 m/s
rB – rA = 300 ...(i)
ω × rA = 80
ω × rB = 140
∴ | = 1.75 ...................(ii) | rA |
Solving (i) and (ii), rB = 700 mm.
∴ Diameter of wheel is 1400 mm.