You can create a simple gyroscope by hanging a wheel on a string as shown in the picture. We can approximate a wheel as follows: The rim has a total mass of density of λrim = 6 kg/m and is at radius R0 = 0.25 m. We can simplify the spokes and say that there are 18 spokes that are straight lines, that go directly from the center to the rim with linear mass density λspoke = 0.2 kg/m. (a) Calculate the moment of inertia, I of the wheel. (b) We put the wheel on an axle that is 0.5 m and you give the wheel a spin of 500 rev/min. What is the precessional rate of the wheel in radians/s?
You can create a simple gyroscope by hanging a wheel on a string as shown in the picture. We can approximate a wheel as follows: The rim has a total mass of density of λrim = 6 kg/m and is at radius R0 = 0.25 m. We can simplify the spokes and say that there are 18 spokes that are straight lines, that go directly from the center to the rim with linear mass density λspoke = 0.2 kg/m. (a) Calculate the moment of inertia, I of the wheel. (b) We put the wheel on an axle that is 0.5 m and you give the wheel a spin of 500 rev/min. What is the precessional rate of the wheel in radians/s?
Related questions
Question
You can create a simple gyroscope by hanging a wheel on a string as shown in the picture. We can approximate a wheel as follows: The rim has a total mass of density of λrim = 6 kg/m and is at radius R0 = 0.25 m. We can simplify the spokes and say that there are 18 spokes that are straight lines, that go directly from the center to the rim with linear mass density λspoke = 0.2 kg/m.
(a) Calculate the moment of inertia, I of the wheel.
(b) We put the wheel on an axle that is 0.5 m and you give the wheel a spin of 500 rev/min. What is the precessional rate of the wheel in radians/s?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 4 images