Question

3. A mechanical borer uses a drill bit that accelerates from rest with an angular acceleration of

14 rad/s2 to a maximum speed of 15,000 rpms. What is the maximum speed of the drill in
radians per second? How long and how many complete rotations does the drill make while
accelerating to its maximum speed?

Answer 1

• Just we need to convert rad/minute to rad/s

`\\ \tt\hookrightarrow 15000rpm=15000/60=250rad/s`

Now

`\\ \tt\hookrightarrow No\:of\: rotations=(velocity)/(\alpha)`

`\\ \tt\hookrightarrow (250)/(14)=17.8`

Total 17complete rotations