Question

The angular speed of the minute hand of a clock in degrees per second is

• A. \(0.6\)
• B. \(0.1\)
• C. \(0.12\)
• D. \(1\)

Hint:

The minute hand covers 360 degrees in 3600 seconds.

Answer 1

The Correct Option is B

Step 1: Use the formula with period:
$\omega=\dfrac{2\pi}{T}$ with $T=3600$ s, giving $\omega=\dfrac{2\pi}{3600}=1.745\times10^{-3}$ rad/s.

Step 2: Convert to degrees:
One radian is $57.3^{\circ}$, so $1.745\times10^{-3}\times57.3=0.1^{\circ}$/s.

Step 3: Pick:
Option B.

Final Answer:
360 degrees in 3600 seconds is 0.1 degrees per second. \[ \boxed{\text{(B) }0.1} \]