Question 3 of 50beginner🔧 ApplyNumerical2 marks

A wheel makes 360 revolutions in one minute. Through how many radians does it turn in one second?

Correct Answer

The wheel turns through 12π radians in one second.

Exercise: EXERCISE 3.1 | Q: 3 | (Page 7)
For More Understanding

Explanation

This question tests the understanding of converting revolutions to radians. From the context, one complete revolution subtends an angle of 2π radians. The student needs to first calculate revolutions per second, then multiply by 2π to get the answer in radians.

Solution Steps

  1. Step 1: Calculate revolutions per second. The wheel makes 360 revolutions in one minute. Since 1 minute = 60 seconds, revolutions per second = 360 ÷ 60 = 6 revolutions per second.

  2. Step 2: Convert revolutions to radians. From the context, one complete revolution subtends an angle of 2π radians.

  3. Step 3: Calculate total radians per second. Angle turned in one second = 6 revolutions × 2π radians = 12π radians.

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