Class 10 Exam  >  Class 10 Questions  >  A table clock has its minute hand 5cm long. T... Start Learning for Free
A table clock has its minute hand 5cm long. The average velocity of the tip of the minute hand between 6 am to 6.30 pm is?
Most Upvoted Answer
A table clock has its minute hand 5cm long. The average velocity of th...
Understanding the Problem
To find the average velocity of the tip of the minute hand from 6 AM to 6:30 PM, it's essential to consider the movement of the minute hand and the distance it travels.
Length of the Minute Hand
- The minute hand is 5 cm long.
Calculating the Circumference
- The tip of the minute hand traces a circular path.
- Circumference \( C \) of the circle is given by the formula:
\[
C = 2 \pi r
\]
where \( r \) is the radius (length of the minute hand).
- Substituting the values:
\[
C = 2 \pi (5 \, \text{cm}) \approx 31.42 \, \text{cm}
\]
Time Duration
- The time from 6 AM to 6:30 PM is 12.5 hours or 750 minutes.
Distance Traveled by the Minute Hand
- In 12 hours, the minute hand completes 12 full rotations.
- Therefore, distance traveled in 12 hours:
\[
\text{Distance} = 12 \times C \approx 12 \times 31.42 \approx 377.04 \, \text{cm}
\]
- From 6 AM to 6:30 PM, the minute hand makes an additional half rotation:
\[
\text{Additional Distance} = \frac{C}{2} \approx \frac{31.42}{2} \approx 15.71 \, \text{cm}
\]
- Total distance traveled:
\[
\text{Total Distance} = 377.04 + 15.71 \approx 392.75 \, \text{cm}
\]
Calculating Average Velocity
- Average velocity \( v \) is given by:
\[
v = \frac{\text{Total Distance}}{\text{Total Time}}
\]
- Total time is 750 minutes, converting to seconds:
\[
750 \, \text{min} = 750 \times 60 = 45000 \, \text{s}
\]
- Therefore, average velocity:
\[
v \approx \frac{392.75 \, \text{cm}}{45000 \, \text{s}} \approx 0.00873 \, \text{cm/s}
\]
Conclusion
The average velocity of the tip of the minute hand between 6 AM to 6:30 PM is approximately 0.00873 cm/s.
Community Answer
A table clock has its minute hand 5cm long. The average velocity of th...
It is5\60
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
Explore Courses for Class 10 exam

Similar Class 10 Doubts

Top Courses for Class 10

A table clock has its minute hand 5cm long. The average velocity of the tip of the minute hand between 6 am to 6.30 pm is?
Question Description
A table clock has its minute hand 5cm long. The average velocity of the tip of the minute hand between 6 am to 6.30 pm is? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A table clock has its minute hand 5cm long. The average velocity of the tip of the minute hand between 6 am to 6.30 pm is? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A table clock has its minute hand 5cm long. The average velocity of the tip of the minute hand between 6 am to 6.30 pm is?.
Solutions for A table clock has its minute hand 5cm long. The average velocity of the tip of the minute hand between 6 am to 6.30 pm is? in English & in Hindi are available as part of our courses for Class 10. Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of A table clock has its minute hand 5cm long. The average velocity of the tip of the minute hand between 6 am to 6.30 pm is? defined & explained in the simplest way possible. Besides giving the explanation of A table clock has its minute hand 5cm long. The average velocity of the tip of the minute hand between 6 am to 6.30 pm is?, a detailed solution for A table clock has its minute hand 5cm long. The average velocity of the tip of the minute hand between 6 am to 6.30 pm is? has been provided alongside types of A table clock has its minute hand 5cm long. The average velocity of the tip of the minute hand between 6 am to 6.30 pm is? theory, EduRev gives you an ample number of questions to practice A table clock has its minute hand 5cm long. The average velocity of the tip of the minute hand between 6 am to 6.30 pm is? tests, examples and also practice Class 10 tests.
Explore Courses for Class 10 exam

Top Courses for Class 10

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev