Question

a wheel is rotating at 700 rpm . how many radian it will cover in duration of 1 hour

Answer 1

Answer:

Initially ν=900r.p.m=

60

900

=15 s

−1

Thus ω

1

=2πν=30π rad/s and ω

2

=0

Using, ω

2

=ω

1

+αt, where t=60 s, we get:

0=30π+α(60)

or, α=−

2

π

rad/s

2

(-ve sign shows angular retarding acceleration)

Explanation:

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Answer 2

Given,

The rotation rate of the wheel is 700rpm.

To find,

The number of radians covered by that wheel in one hour.

Solution,

In 1 min the wheel rotates for = 700 times

In 60 mins/1hr the wheel rotates for = 700×60 = 42000 times

Now,

A complete rotation is equal to 360° of rotation.

So,

1 rotation = 360°

42000 rotations = 360×42000 = 15120000°

And,to find the radian measurement,we need to multiply π/180° with the degree measurement.

Radian measurement = π/180° × 15120000° = 84000π rad

Hence,the wheel coverd 84000π radians.