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64) A popular make of dental drill can operate at a speed of 42,500 rpm while producing a torque of 3.68 oz ·in. What is the power output of this drill? Give your answer in watts.

Respuesta :

The power is given by:

[tex]P=\tau\omega[/tex]

before we calculate we need to convert the values given to the correct units.

One rpms is equal to 0.10472 rad/s; and 1 oz*in is equal to 0.0070615518333333 N*m; with this convertion in mind we have:

[tex]\begin{gathered} P=(42500\cdot0.10472)(3.68\cdot0.0070615518333333) \\ =115.66 \end{gathered}[/tex]

Therefore the power is 115.66 W

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