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An imprudent driver speeds around a curve with a radius of 110 m at a speed of 30 m/s. What is the angular speed of the car?

A. 0.272 rad/s
B. 0.333 rad/s
C. 0.455 rad/s
D. 0.578 rad/s

1 Answer

4 votes

Final answer:

The angular speed of a car traveling at 30 m/s around a curve with a radius of 110 m is 0.272 rad/s.

Step-by-step explanation:

The question is asking for the angular speed of a car as it speeds around a curve. The angular speed (ω) can be calculated using the formula ω = v/r, where v is the linear speed and r is the radius of the curve. So, if the car is travelling at 30 m/s around a curve with a radius of 110 m, the angular speed is ω = 30/110 = 0.2727 rad/s. Therefore, the correct answer is A. 0.272 rad/s.

User Irshad Ahmad
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