The angular speed of an object describing a circle of radius 4m with a linear constant speed of 10 ms-1 is
A
40.00 rad s-1
B
14.00 rad s-1
C
2.50 rad s-1
D
1.58 rad s-1
E
0.40 rad s-1
Verified Correct Answer: C.
Physical Principles & Numerical Solution
To find the angular speed (\( \omega \)) of an object moving in a circle, we use the formula:
\(\omega = \frac{v}{r}\)
Given:
- Linear speed (\( v \)) = 10 m/s
- Radius (\( r \)) = 4 m
Substituting the values into the formula:
\(\omega = \frac{10 \, \text{m/s}}{4 \, \text{m}} = 2.5 \, \text{rad/s}\)
The angular speed is \(\omega = 2.50 \, \text{rad/s}\)
Source: Myschool Past Questions Archive (Record #25057)