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Archy [21]
3 years ago
15

ALWAYS use significant figure rules. Remember that these rules apply to all numbers that are measurements. An object moves in un

iform circular motion at 25 m/s and takes 1.0 second to go a quarter circle. What is the radius of the circle? R = _____ m 0.063 m 0.99 m 16 m 50. m
Mathematics
1 answer:
TiliK225 [7]3 years ago
8 0

Answer: 16 m

Step-by-step explanation:

We have the following data:

V=25 m/s is the velocity of the object moving in uniform circular motion

t=1 s is the time it takes to the object to go \frac{1}{4} of a complete circle

We need to find the radius r of the circle, and this can be found by the following equation:

V=\frac{2 \pi r}{T} (1)

Where 2 \pi r is the circumference of the circle and T=4 t=4(1 s) is the period for a complete circle.

Hence, isolating r we have:

r=\frac{V T}{2 \pi} (2)

r=\frac{(25 m/s)(4 s)}{2 \pi} (3)

Finally:

r=15.9 m \approx 16 m (4)

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