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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

Respuesta :

MathPhys

Answer:

C. 2.3 m

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:

r = 2.3 meters

Explanation:

Solution,

Given that,

Centripetal acceleration of the propeller, [tex]a=532.6\ m/s^2[/tex]

Velocity of the propeller, v = 35 m/s

To find,

Length of the propeller blade.

Solution,

The centripetal acceleration is given by :

[tex]a=\dfrac{v^2}{r}[/tex]

r is the radius of propeller

[tex]r=\dfrac{v^2}{a}[/tex]

[tex]r=\dfrac{35^2}{532.6}[/tex]

r = 2.3 meters

So, the length of the propeller is 2.3 merets.

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