Vocabulary
The pivot point of an object.
What is the fulcrum?
Newton-meters
A tire has a radius of 0.6 meters and rotates with an angular velocity of 20 rads/s. What is linear speed at the edge of the tire?
12 m/s
A force of 5 N is applied perpendicular to a lever arm 0.2 m from the pivot. What is the torque?
1 Nm
Moment of inertia of a point mass or system of point masses.
I=Σmr^2
The distance between the pivot point and the force being applied to the object.
What is a lever arm?
radius*Force*sin(theta)
What is the equation for torque?
If a wheel makes 200 rotations, how many radians has it rotated?
400 radians
A wrench of length 0.3 m is used to tighten a bolt. If a force of 40 N is applied at an angle of 53° to the wrench, what is the torque?
9.58 Nm
What is the difference between a uniform mass and non uniform mass?
Uniform means it is the same throughout, non uniform is mass is unevenly distributed
The rate of change of angular velocity which is caused by a net torque.
What is angular acceleration?
rotational inertia*angular velocity
What is the equation for angular momentum?
A gear with a radius of 0.5 m rotates at 19 rad/s. If a smaller gear with a radius of 0.2 m is connected to it, what is the angular velocity of the smaller gear?
47.5 rads/s
A uniform beam of length 2.5 m is pivoted at one end and held horizontally by a cable attached 1.5 m from the pivot. If the beam weighs 250 N, what is the tension in the cable?
208.33 N
Στ=I⋅α
What is Newton's Second Law for rotation
Resistance to change in angular speed.
What is rotational inertia?
torque*change in theta
What is the equation for work in rotational dynamics?
The angular displacement of a rotating object is described by θ(t) = 5t² - 3t + 2. Find the angular velocity at t = 2 s.
17 rads/s
A thin disk rotates around its center, and a force of 60 N is applied tangentially to its edge. If the radius of the disk is 0.4 m, what is the resulting torque?
This happens when the sum of the net torque is zero, resulting in no angular acceleration.
What is rotational equilibrium?
Don't confuse the symbol for torque with the symbol for _____!
What is a period?
A spinning top accelerates from 13 rad/s to 54 rad/s in 2 seconds. What is the angular acceleration?
33.5 rads/s^2
A 5 meter, 200N-long ladder rests against a wall. The ladders center of mass is 3.0 meters up the ladder. The coefficient of friction on the ground is 0.30. How far along the ladder can a 75-kg person climb before it slips? The angle between the ladder and ground is 56 degrees.
2 meters