It is required to design a tennis ball for recreational use by settlers on Mars. The primary requirement is that the balls must pass the same 'bounce test' specified for tennis balls used on Earth. This requires that a ball dropped from a height of 254 cm onto concrete will bounce back to a height of 140 cm. The games will be played in a sealed gymnasium pressurised with standard air to 70 kPa. The balls are to have the same mass and diameter as those used on Earth, with modifications to account for the reduced gravity on Mars and the lower air pressure in the habitat. The height a ball recovers after a single bounce is believed to depend on the following parameters: Earth Drop height, L (m) Gravitational acceleration, g (m/s²) Internal pressure of ball above atmospheric (kPa) Diameter, D (m) Mass of ball, M (kg) Target bounce height, h (m) 2.54 9.8 83 0.067 0.057 0.14 Mars 2.54 3.71 ? 0.067 0.057 0.14 0 ms 2 ms 4 ms 3 ms a) Identify the dimensionless parameters which would control the bounce height under these assumptions. b) What pressure should the balls be filled to?
It is required to design a tennis ball for recreational use by settlers on Mars. The primary requirement is that the balls must pass the same 'bounce test' specified for tennis balls used on Earth. This requires that a ball dropped from a height of 254 cm onto concrete will bounce back to a height of 140 cm. The games will be played in a sealed gymnasium pressurised with standard air to 70 kPa. The balls are to have the same mass and diameter as those used on Earth, with modifications to account for the reduced gravity on Mars and the lower air pressure in the habitat. The height a ball recovers after a single bounce is believed to depend on the following parameters: Earth Drop height, L (m) Gravitational acceleration, g (m/s²) Internal pressure of ball above atmospheric (kPa) Diameter, D (m) Mass of ball, M (kg) Target bounce height, h (m) 2.54 9.8 83 0.067 0.057 0.14 Mars 2.54 3.71 ? 0.067 0.057 0.14 0 ms 2 ms 4 ms 3 ms a) Identify the dimensionless parameters which would control the bounce height under these assumptions. b) What pressure should the balls be filled to?
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
Related questions
Question
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 9 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Recommended textbooks for you
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY