- #31
logan
got it was 6.7x10^-2
thanks haruspex and cwatters
thanks haruspex and cwatters
Calculating Torque for Spinning a 250g Plastic Disk on an Electric Motor in 4.6s
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SUMMARY
The discussion centers on calculating the torque required to spin a 250g plastic disk with a diameter of 25 cm from 0 to 1500 RPM in 4.6 seconds. Participants clarify the use of the equation τ = Iα, where τ is torque, I is moment of inertia, and α is angular acceleration. The moment of inertia for the disk is calculated using the formula I = 1/4 * m * r², resulting in a value of approximately 0.067 Nm. The conversion from RPM to radians per second is also addressed, confirming that 1500 RPM equals 157 rad/s.
PREREQUISITES- Understanding of rotational dynamics, specifically torque and angular acceleration.
- Familiarity with the moment of inertia and its calculation for different shapes.
- Ability to convert between RPM and radians per second.
- Basic knowledge of physics equations related to linear and rotational motion.
- Study the calculation of moment of inertia for various geometric shapes.
- Learn how to convert between different units of angular velocity, specifically RPM to rad/s.
- Explore the relationship between linear and rotational motion equations.
- Practice solving problems involving torque and angular acceleration using real-world examples.
Students studying physics, particularly those focusing on mechanics, engineers working with rotational systems, and anyone interested in understanding torque calculations in practical applications.
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