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Nady [450]
4 years ago
5

If an object moves in uniform circular motion in a circle of radius R = 1.00 meter, and the object takes 4.00 seconds to complet

e ten revolutions, calculate the centripetal acceleration. a = _____ m/s2
 A. 3.14 m/s2
B. 78.5 m/s2
C. 98.7 m/s2
D. 247 m/s2
Physics
2 answers:
Korolek [52]4 years ago
6 0

Answer:

D. 247 m/s2

Explanation:

The centripetal acceleration is given by:

a=\omega^2 r

where

\omega is the angular speed

r = 1.00 m is the radius of the circular trajectory

The object takes 4.00 seconds to complete 10 revolutions. 1 revolution corresponds to an angle of 2 \pi rad, so 10 revolutions correspond to an angle of 10 \cdot 2 \pi = 20 \pi rad. The angular speed is therefore

\omega = \frac{\Delta \theta}{\Delta t}=\frac{20 \pi}{4.0 s}=15.7 rad/s

And so, the centripetal acceleration is

a=\omega^2 r = (15.7 rad/s)^2 (1.0 m)=246.5 m/s^2 \sim 247 m/s^2

Shtirlitz [24]4 years ago
3 0
4.00= 10 revolutions       

8sec= 20 revolutions

16sec= 30 revolutions

idk id say 247 m/s2
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