Question

A point at the end of a propeller has a centripetal acceleration of 532.6 m/s^2.

If the velocity of the propeller at this point is 35 m/s how long is the propeller blade?
A. 2.1m
B. 2.5m
C. 2.3m
D. 1.9m

Answer 1

C. 2.3 m

Step-by-step explanation:

Centripetal acceleration is:

a = v² / r

Given a = 532.6 m/s² and v = 35 m/s:

532.6 m/s² = (35 m/s)² / r

r = 2.3 m

Answer 2

r = 2.3 meters

Step-by-step explanation:

Solution,

Given that,

Centripetal acceleration of the propeller,
`a=532.6\ m/s^2`

Velocity of the propeller, v = 35 m/s

To find,

Length of the propeller blade.

Solution,

The centripetal acceleration is given by :

`a=(v^2)/(r)`

r is the radius of propeller

`r=(v^2)/(a)`

`r=(35^2)/(532.6)`

r = 2.3 meters

So, the length of the propeller is 2.3 merets.