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manny2822
05.07.2019 •
Mathematics
Agear is driven by a chain that travels 90 m/min. find the radius of the gear if it makes 50 revolutions per minute
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Ответ:
The radius of the gear is, 0.286624204 m
Step-by-step explanation:
A gear is driven by a chain that travels 90 m/min. If it makes 50 revolutions per minute. then find the radius of the gear
let angular velocity be
, velocity be v and radius be r.
Given:
Angular velocity
=50 revolutions per minute
1 revolution =
radian
50 revolution=![2\times50 \pi](/tpl/images/0055/7549/c24a6.png)
radian
therefore,
radian per minute
and velocity(v) = 90 meter per minute
Use formula: Velocity(v)= radius(r)
angular velocity ![(\omega)](/tpl/images/0055/7549/0a226.png)
then, we write above formula as :![r=\frac{v}{\omega}](/tpl/images/0055/7549/820e7.png)
Substitute the value of v and
to solve for r: the constant value of pi i.e, ![(\pi=3.14)](/tpl/images/0055/7549/63836.png)
Ответ: