Numericals on Gyroscopic effect on aeroplanes - Gyroscope - Dynamics of Machinery

TL;DR

This video explains how to calculate the gyroscopic effects on an aeroplane during left and right turns.

Transcript

hello everyone in this video we'll discuss a numerical on gyroscopic effects on aeroplane so the question given is that the speed of aeroplane is 240 kilometer per hour and it is turning left and it completes a quarter circle of 60 meter radius that means radius is given which is 16 meter the mass of the rotary engine and propeller is given as 450 ... Read More

Key Insights

• 🫵 The direction of rotor rotation and viewer position affect the reaction couple and the resulting changes in aircraft attitude during turns.
• 💆 Moment of inertia is calculated using the mass and radius of gyration, while angular velocity is derived from the engine speed.
• 🤒 Linear velocity is converted from kilometers per hour to meters per second for consistent units in calculations.
• 📐 The formula for gyroscopic couple involves the product of moment of inertia, angular velocity, and angular acceleration.
• ↩️ Applying the right-hand screw rule helps determine the direction of the reactive couple during left and right turns.
• 😤 The gyroscopic effects on the aeroplane can cause the nose and tail to change their positions during turns.
• ↩️ Clockwise rotor rotation during right turns results in a raised tail and depressed nose.

Questions & Answers

Q: What parameters are given in the numerical problem of gyroscopic effects on the aeroplane?

The given parameters are the speed of the aeroplane, radius of the turn, mass of the engine, radius of gyration, and speed of the engine.

Q: How is angular velocity calculated in this problem?

Angular velocity is obtained by dividing 2π times the speed of the engine (in rpm) by 60 to convert it to radians per second.

Q: What is the formula for calculating the gyroscopic couple?

The formula for gyroscopic couple is given by the product of moment of inertia, angular velocity, and angular acceleration.

Q: How does the direction of rotor rotation and viewer position impact the effects of gyroscopic couple on the aeroplane?

When the rotor rotates counterclockwise during a left turn, the nose of the aeroplane is raised and the tail is dipped. Conversely, during a right turn with clockwise rotation, the nose is depressed and the tail is raised.

Summary & Key Takeaways

• The video discusses a numerical problem involving an aeroplane turning left in a quarter-circle with given parameters such as speed, mass, and radius of gyration.

• It explains the formula for gyroscopic couple and how to calculate the moment of inertia, angular velocity, and linear velocity.

• The video also explores the effects of gyroscopic couple on the aircraft during left and right turns, considering the direction of rotor rotation and viewer position.