StemCET Logo

Physics Question 82 – AP-EAMCET 2026

← Back
A motorist completes half revolution on a circular path of 60 m radius in one minute. His average speed

Average speed is calculated by dividing the total distance traveled by the total time taken.

Step 1: Identify Given Parameters and Goal✦ Active

First, identify the given physical quantities and the quantity to be calculated from the problem statement.

Given: Radius of the circular path, r=60 m. Time taken for half revolution, t=1 minute. We need to calculate the average speed of the motorist.

Step 2: Convert Units and Calculate Total Distance○ Expand

Convert the time to standard SI units (seconds). Then, calculate the total distance covered during half a revolution on a circular path.

Time t=1 minute=60 seconds.

The distance covered in half a revolution is half the circumference of the circle, which is given by:

d=12(2πr)=πr

Substitute the given radius r=60 m into the distance formula:

d=π×60 m=60π m
💡 Teacher's Secret Hint

Always ensure units are consistent (e.g., meters for distance, seconds for time) before performing calculations to avoid errors.

Step 3: Calculate Average Speed○ Expand

Now, use the definition of average speed to find its value.

Average Speed is given by the formula:

Average Speed=Total DistanceTotal Time

Substitute the calculated distance and time:

Average Speed=60π m60 s=π m/s

Using the approximate value of π≈3.14:

Average Speed≈3.14 m/s
💡 Teacher's Secret Hint

Remember that speed is a scalar quantity, so we only care about the total path length, not the displacement.

Step 4: Match with Options○ Expand

Compare the calculated average speed with the provided options.

The calculated average speed is approximately 3.14 m/s, which corresponds to Option 3.

✦ STEM Console utilizes AI models to generate step-by-step explanations and math clues. AI can make mistakes.