Centripetal and Centrifugal Forces Quiz

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What is the mass moment of inertia of the rotor?

2000 kg-m^2

4800 kg-m^2

3700 kg-m^2

3200 kg-m^2 (correct)

What is the angular velocity of precession in radians per second?

0.82 rad/s

0.37 rad/s (correct)

1.25 rad/s

0.68 rad/s

What is the gyroscopic couple acting on the rotor?

250.432 kN-m

150.324 kN-m

120.575 kN-m

200.866 kN-m (correct)

In which direction does the reactive gyroscopic couple raise and lower the ship's ends?

Raise the bow and lower the stern Signup and view all the answers

Where are gyroscopes commonly used for maintaining direction?

In inertial navigation systems Signup and view all the answers

What condition needs to be met for the effect of gyroscopic couple to occur?

Axis of precession perpendicular to the axis of spin Signup and view all the answers

In which scenario will there be no effect of the gyroscopic couple acting on the body of a ship?

When the axis of precession is parallel to the axis of spin Signup and view all the answers

What is the relation between the road reaction over each wheel and the weight of the vehicle?

Road reaction equals one-fourth of the weight Signup and view all the answers

What is the net gyroscopic couple equation for a vehicle experiencing a turn?

$C = W.P (4 IW ± G.IE)$ Signup and view all the answers

What is the effect of centrifugal force on a vehicle moving along a curved path?

Overturns the vehicle Signup and view all the answers

What happens when PI is zero or negative at high speeds?

Inner wheels leave the ground Signup and view all the answers

What will be the reaction at outer wheels due to gyroscopic couple?

Vertically upwards Signup and view all the answers

What is the significance of road reaction over each wheel?

Balances gyroscopic couple effect Signup and view all the answers

How does centrifugal force impact vehicle stability in a turn?

Reduces stability Signup and view all the answers

At what speed might inner wheels leave the ground due to certain conditions?

Both low and high speeds Signup and view all the answers

What is the force required to keep a body moving along a curved path with uniform linear velocity?

Active force Signup and view all the answers

What happens to the angular momentum vector of an aero plane when it takes a left turn?

It changes direction from ox to ox' Signup and view all the answers

Which force acts radially outwards on a body moving with uniform linear velocity along a circular path?

Centrifugal force Signup and view all the answers

In which direction does the active gyroscopic couple act on an aero plane taking a left turn?

Clockwise Signup and view all the answers

What is the action of the reactive or centrifugal force on a body?

To tilt or move the body along radially outward direction Signup and view all the answers

What effect does the reactive gyroscopic couple have on an aero plane taking a left turn?

Raises the nose and dips the tail Signup and view all the answers

What is the fore end of a naval ship called?

Bow Signup and view all the answers

How is angular acceleration defined?

Rate of change of angular velocity with respect to time Signup and view all the answers

How can angular acceleration be represented visually?

By drawing a vector diagram with the right hand screw rule Signup and view all the answers

When viewed from the stern, what are the left hand and right hand sides of a naval ship called?

Port and star-board Signup and view all the answers

'Pitching' of a naval ship refers to movement up and down in a ____ plane.

Vertical Signup and view all the answers

What effect does the reactive gyroscopic couple have when the ship pitches upward?

Moves the ship toward star-board Signup and view all the answers

'Rolling' in naval ships involves movement about which axis?

Longitudinal Signup and view all the answers

'Steering' of a naval ship involves turning in a curve towards:

Left or right Signup and view all the answers

What is named as 'stern' in naval ships?

Rear end Signup and view all the answers

What is the angle of heel in relation to the vehicle's equilibrium?

The angle between the axis of spin and the vertical plane Signup and view all the answers

Which force acts horizontally through the center of gravity along the outward direction?

Centrifugal force Signup and view all the answers

What is the formula to calculate the mass moment of inertia of a disc?

m × r^2/2 Signup and view all the answers

Which term represents the speed at which a disc rotates about an arm?

Speed of precession Signup and view all the answers

When an aeroplane turns towards left, what is the effect of the gyroscopic couple?

Lifts the nose upwards and tail downwards Signup and view all the answers

What is the gyroscopic couple on an aircraft when given its mass moment of inertia as 36 kg-m^2 and precession speed as 1.11 rad/s?

100 N-m Signup and view all the answers

What angle is crucial for determining the vehicle's stability so that it does not skid?

Angle of heel Signup and view all the answers

What is the angular velocity of the axis of spin about the axis of precession denoted by?

P Signup and view all the answers

What is the plane in which the disc is rotating called?

Plane of spinning Signup and view all the answers

What is the axis about which the axis of spin is to turn known as?

OY Signup and view all the answers

In which plane does the active gyroscopic couple lie?

Plane XOY Signup and view all the answers

What is the axis perpendicular to the plane XOY, about which the active gyroscopic couple acts, known as?

OZ Signup and view all the answers

What is the reactive couple to which the disc is subjected when the axis of spin rotates about the axis of precession known as?

Reactive gyroscopic couple Signup and view all the answers

What is the vector representing the change in angular momentum known as?

'XX' Signup and view all the answers