Question:
The angular speed of the minute hand of a clock in degrees per second is
The angular speed of the minute hand of a clock in degrees per second is
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The minute hand covers 360 degrees in 3600 seconds.
Updated On: Oct 1, 2026
- \(0.6\)
- \(0.1\)
- \(0.12\)
- \(1\)
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The Correct Option is B
Solution and Explanation
Step 1: Understanding the Concept:
Angular speed is the angle turned per unit time: \(\omega=\dfrac{\theta}{t}\).
Step 2: Use one full turn:
The minute hand makes one complete revolution (\(360^{\circ}\)) in 60 minutes, which is \(60\times60=3600\) s.
Step 3: Calculate:
\[ \omega=\dfrac{360^{\circ}}{3600\text{ s}}=0.1^{\circ}/\text{s} \]
Step 4: Why the other options are wrong.
The second hand turns \(6^{\circ}\)/s, so that is not the answer. A value of 0.6 would come from dividing 360 by 600 instead of 3600. 0.12 and 1 do not match a 3600 s period.
Final Answer:
The angular speed is 0.1 degree per second. \[ \boxed{\text{(B) }0.1} \]
Angular speed is the angle turned per unit time: \(\omega=\dfrac{\theta}{t}\).
Step 2: Use one full turn:
The minute hand makes one complete revolution (\(360^{\circ}\)) in 60 minutes, which is \(60\times60=3600\) s.
Step 3: Calculate:
\[ \omega=\dfrac{360^{\circ}}{3600\text{ s}}=0.1^{\circ}/\text{s} \]
Step 4: Why the other options are wrong.
The second hand turns \(6^{\circ}\)/s, so that is not the answer. A value of 0.6 would come from dividing 360 by 600 instead of 3600. 0.12 and 1 do not match a 3600 s period.
Final Answer:
The angular speed is 0.1 degree per second. \[ \boxed{\text{(B) }0.1} \]
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