Question

Central Force: A basin surrounding a drain has the shape of a circular cone opening upward,...

A 25.0-g ice cube is set sliding around the cone without friction in a horizontal circle of radius R.

1. Draw a diagram, put in all forces, and pick an appropriate coordinate system.

2. Find the speed the ice cube must have as a function of R, g and α. Show all work and give all reasoning.

3. What speed would be required to repeat this situation but with R_new = 2R_old?

4. If the time to complete one orbit is T when the radius is R, what is the time to complete one orbit when the radius is 2R?

0 0
Add a comment Improve this question Transcribed image text
Answer #1
(2)Here F_n = normal force acrting on the block due to the surfaceThe cnetripetal force mv^2 / R = F_n cosθ ..............(1)F_n sinθ = mg .....................(2)deviding equation's (2) and (1)F_n sin θ / F_n cosθ =( mv^2 /R ) / mgtanθ = v^2 / Rgvelocity v = sqrt ( Rgtanθ )(3) v = sqrt (2Rg tanθ)(4)time to complete one orbit with radius RTime(T) = distance / velocity = 2πR / sqrt ( Rgtanθ )Time to complete one orbit with radius 2RT' = 2π(2R) / sqrt (2Rg tanθ) = (2 / sqrt(2) ) *T = sqrt (2) *T
answered by: Rohini
Add a comment
Know the answer?
Add Answer to:
Central Force: A basin surrounding a drain has the shape of a circular cone opening upward,...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT