A wheel rotates clockwise 6 times per second. What will be its angular displacement after 7 seconds? Answer should be rounded to 2 decimal places

The frequency of the wheel is the number of revolutions per second:

f = / frac{N_{rev}}{t} = / frac{10}{1 s}=10 Hz

And now we can calculate the angular speed, which is given by:

/omega = 2 / pi f=2 / pi (10 Hz) = 62.8 rad/s in the clockwise direction.

(6 rotations/sec) x (7 sec) = 42 rots

Each rotation is 360 degrees or 2π radians.

42 rotations = 15,120 degrees

or

84π radians.