Question

The angular velocity of a point with radius 8 feet is 10 pi radians per second. Find the speed of the point.

Answer 1

Answer:

80π feet/ second.

Step-by-step explanation:

Angular velocity of a point = 10π radians per second

Radius of the circle is 8 feet.

We know the formula of angular velocity is

Angular velocity = $\frac{speed}{radius}$

10π = $\frac{speed}{8}$

Speed = 80π feet/ second.

Option C is the answer.

Answer 2

Answer: $80\pi\text{ ft/sec}$

Step-by-step explanation:

Formula : $\text{Speed= Angular velocity x Radius}$   (1)

We are given that , The angular velocity of a point with radius 8 feet is 10 pi radians per second.

i.e. Radius = 8 feet

Angular velocity = $10\pi$ radians per second.

Then, the speed of the point will be :-

$\text{Speed= }10\pi \times 8$   [using (1)]

$=80\pi\text{ ft/sec}$

Hence, the speed of the point $=80\pi\text{ ft/sec}$