contestada

The angular velocity of a point on a circle with radius of 12 feet is 15 radians per second. Find the speed of the point on the circle.

Respuesta :

PHDFlopper
Angular speed: 
(24*pi)*(15 pi/2pi) ft/sec:
565 ft/sec 

Answer:

[tex]v=180frac{ft}{sec} [/tex]

Step-by-step explanation:

Givens:

  • [tex]r=12 \ ft[/tex]
  • [tex]\omega = 15 \frac{rad}{sec}[/tex]

The problem is asking for the speed of the point on the circle, that is, the linear speed, which definition is: [tex]v=r \omega[/tex]

Replacing given values:

[tex]v=12 \ ft (15\frac{rad}{sec})=180\frac{ft}{sec} [/tex]