The wheel of a motor cycle is of radius

    \[35\]

cm. How many revolutions per minute must the wheel make so as to keep a speed of

    \[66\]

km/h?
The wheel of a motor cycle is of radius

    \[35\]

cm. How many revolutions per minute must the wheel make so as to keep a speed of

    \[66\]

km/h?

From the question Radius of wheel = r =

    \[35\]

cm

We know that one revolution of the wheel is equal to Circumference of the wheel

i.e.,

    \[2\pi r\]

=

    \[2\times (22/7)\times 35\]

=

    \[220\]

cm

But, from the question it is given that,

Speed of the wheel is

    \[66\]

km/hr

=

    \[(66\times 1000\times 100)/60\]

cm/min

=

    \[110000\]

cm/min

∴ Number of revolutions in one min =

    \[110000/220=500\]

Therefore,

    \[500\]

revolutions per minute should be  made by the wheel make so as to keep a speed of

    \[66\]

km/h