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A gear of radius 7.2 cm turns at 11 revolutions per second. What is the linear velocity of the gear in meters per second

Guide :High School

A gear of radius 7.2 cm turns at 11 revolutions per second. What is the linear velocity of the gear in meters per second?

A gear of radius 7.2 cm turns at 11 revolutions per second. What is the linear velocity of the gear in meters per second?
Linear velocity is given by the formula v = ωr, where ω is the angular velocity in radians, and r is the radius.We first solve for ω:11 revs/sec = (11 revs/sec) x (2πrad/rev) = 22π rad/sec.(note: 2πrad/rev means that there are 2π radians in one revolution)v = ωr; where v is in meters per secondv = (22π rad/s)(7.2 cm)(10⁻² m/1 cm) = 4.976 m/s  ...

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