PHYS 1401Q Study Guide - Midterm Guide: Half-Life, Angular Acceleration, Compact Car
University of Connecticut
PHYS 1401Q
General Physics with Calculus
Spring 2018
Term Test 4
Prof: Renjie Ma
Exam Guide
Contents
Torque
Torque
Torque as Vector
Torque and Angular Acceleration for a Rigid Body
Moment of Inertia Calculations
Moments of inertia of some common bodies
Parallel Axis Theorem
Rotational Kinematics
Angular Velocity
Counterclockwise vs Clockwise
Right Hand Rule
Angular Acceleration
Speeding up vs Slowing down
Rotation with Constant Angular Acceleration
Connecting Linear and Angular Quantities
Rotational Kinetic Energy
Nuclear Decay and Reaction
Properties of nuclei
Nuclear Binding and Nuclear Structure
Nuclear Stability and Radioactivity
Activities and Half-lives
Biology Effect of Radiation
Nuclear Fission
Nuclear Fusion
Nuclear Reactions
Practice Questions
Conceptual Questions – Torque and Rotational Kinematics
Worked Problems – Torque and Rotational Kinematics
Conceptual Questions - Nuclear Decay and Reaction
Worked Problems - Nuclear Decay and Reaction
Torque
Torque
Definition:
Torque is the tendency of a force to cause or change rotational motion about chosen axis. The
magnitude of torque is the magnitude of the force (F) times the moment arm (l), which is the
perpendicular distance between the axis and the line of force
=
Torque as Vector
Torque can be expressed as a vector using the vector product.
We can use the Right Hand Rule for Cross Products to predict the direction.
For a force
⃗ applied at point and a vector ⃗ from the chosen axis to point , the torque is
given by
⃗=⃗ ×
⃗
The SI unit of torque is the newton-meter (Nm).
Document Summary
Torque is the tendency of a force to cause or change rotational motion about chosen axis. The magnitude of torque is the magnitude of the force (f) times the moment arm (l), which is the perpendicular distance between the axis and the line of force. Torque can be expressed as a vector using the vector product. We can use the right hand rule for cross products to predict the direction. For a force applied at point and a vector from the chosen axis to point , the torque is given by. The si unit of torque is the newton-meter (nm). In the image above, we can use how the distance from the axis of rotation affects the torque created by the wrench. We should take note of the sign of torque. Torque and angular acceleration for a rigid body. The rotational analog of newton"s second law for a rigid body is:
