1. What is the Height of Cylinder Formula?

The formula calculates the height of a cylinder when torque is exerted on its inner surface, given the radius and shear stress. This is particularly useful in fluid mechanics and engineering applications involving rotating cylinders.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( h \) — Height of Cylinder (m)
• \( T \) — Torque on Inner Cylinder (N·m)
• \( r_1 \) — Radius of Inner Cylinder (m)
• \( \tau \) — Shear Stress (Pa)
• \( \pi \) — Mathematical constant pi (≈3.1416)

Explanation: The formula relates the height of a cylinder to the torque applied, the radius of the inner cylinder, and the shear stress experienced by the material.

3. Importance of Height Calculation

Details: Accurate height calculation is crucial for designing mechanical systems involving rotating cylinders, such as viscometers, bearings, and various fluid machinery components.

4. Using the Calculator

Tips: Enter torque in Newton-meters, radius in meters, and shear stress in Pascals. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for input values?
A: Use Newton-meters (N·m) for torque, meters (m) for radius, and Pascals (Pa) for shear stress for consistent results.

Q2: Can this formula be used for any cylinder material?
A: Yes, the formula is general and applies to any material, as long as the shear stress is known or can be calculated.

Q3: What if the cylinder is not perfectly cylindrical?
A: The formula assumes a perfect cylindrical shape. For non-cylindrical shapes, more complex calculations are needed.

Q4: How accurate is this calculation?
A: The calculation is mathematically exact based on the input values. Accuracy depends on the precision of your measurements.

Q5: Can this be used for hollow cylinders?
A: Yes, the formula specifically applies to the inner cylinder in systems with coaxial cylinders.