WorksheetsPHY210 (CHAPTER 1-3)
Total questions: 34
Worksheet time: 1hrs 5mins
What is the relationship between angular velocity and linear velocity?
Angular velocity is the same as linear velocity.
Linear velocity is independent of angular velocity.
Linear velocity is equal to the radius multiplied by the angular velocity (v = r * ω).
Linear velocity is the inverse of angular velocity.
How does the radius of a circular path affect linear speed?
The radius of a circular path directly affects linear speed; a larger radius results in higher linear speed.
The radius only affects angular speed, not linear speed.
Linear speed is independent of the radius.
A larger radius decreases linear speed.
What is the formula that relates linear acceleration to angular acceleration?
a = α / r
a = r + α
a = r - α
a = r * α
Explain how torque is related to linear force in rotational systems.
Torque has no relation to distance from the pivot.
Torque is the same as linear force.
Torque is related to linear force by the equation τ = r × F, where τ is torque, r is the distance from the pivot, and F is the linear force applied.
Torque is calculated by dividing linear force by distance.
What is the significance of the moment of inertia in rotational motion?
It measures the speed of an object's rotation.
It indicates the mass of an object only.
The moment of inertia is significant as it determines an object's resistance to changes in its rotational motion.
It is irrelevant to the dynamics of rotational motion.
How can you convert between linear and angular displacement?
Use v = r * θ for linear to angular conversion.
Use θ = s / r for linear to angular, and s = θ * r for angular to linear.
Apply F = ma to relate linear and angular displacement.
Convert using a ratio of time to distance for both types.
What happens to the angular momentum of a system when no external torque acts on it?
It remains constant.
It decreases over time.
It becomes zero.
It increases indefinitely.
How can you calculate the angular momentum of a rotating object?
L = I * ω, where L is angular momentum, I is moment of inertia, and ω is angular velocity.
L = 1/2 * I * ω^2, where I is moment of inertia and ω is angular velocity.
L = m * v, where m is mass and v is linear velocity.
L = r * F, where r is radius and F is force.
If a figure skater pulls in their arms while spinning, what happens to their angular velocity?
It increases due to conservation of angular momentum.
It remains the same.
It becomes zero.
It decreases.
When submitted to a net torque of 6.2 Nm, the
wheel of a scooter increases its angular speed from 1.4 rad/s to 4.7 rad/s in 4.5 s. What is the rotational inertia of the wheel?
2.2 N.m2
3.8 N.m2
4.5 N.m2
8.5 N.m2
Find the angular momentum for a 5 kg solid cylinder with a 20 cm radius rotating at 3 rad/s.
3000 kg-m2/sec
0,3 kg-m2/sec
0,6 kg-m2/sec
1.2 kg-m2/sec
A particle with 1 kg of mass, travels in a circular path of 0.5 m radius, giving 20 revolutions per second. Its angular momentum is ...
62.8 kg-m2/sec
31.4 kg-m2/sec
15.7 kg-m2/sec
What is the kinetic energy of a 3 kg solid disk (I = 1/2mr2) with a diameter of 80 cm rolling at 4 m/s?
12 J
24 J
36 J
48 J
What is the formula for calculating rotational kinetic energy?
KE=21mv2
KE=21Iω2
KE=Iω
KE=mv2
What does the symbol ω represent in the context of rotational motion?
Acceleration
Force
Angular velocity
Mass
Calculate the rotational kinetic energy of a wheel with a rotational inertia of 10 kg ⋅ m 2 and an angular velocity of 2 rad/s.
10 J
20 J
40 J
80 J
What conditions must be met for an object to be in static equilibrium?
Both the net force and net torque must be zero.
Only the weight of the object must be considered.
The net torque acting on the object must be zero.
The net force acting on the object must be zero.
Which of the following scenarios illustrates a condition of static equilibrium?
A spinning top.
A car accelerating on a highway.
A pendulum swinging back and forth.
A book resting on a table.
If the kid on the left weights 490 N, 0.5m away from the pivont point, then the second kid must have____________ in order to keep it in static equilibrium
340 N, 0.1 m away from the pivont point to the right
220 N, 0.2 m away from the pivont point to the left
490 N, 0.5m away from the pivont point to the right
The graph shows the variation in displacement with time for an object moving with simple harmonic motion.
What is the maximum acceleration of the object?
0.025 m⋅s−2
0.99 m⋅s−2
2.5 m⋅s−2
9.8 m⋅s−2
Given an expression of x = 10 sin (0.25πt) where x in cm, t in second. Which of these answers are true?
the frequency is 0.125 Hz
the amplitude is 10 m
the angular frequency is 0.125 rad s-1
at t = 0, x = 10 cm
Which of the following is the expression for the above graph?
x = 2 sin (2πt)
x = 2 cos (2πt)
x = 2 sin (0.5πt)
x = 10 sin (2πt)
At which point does this pendulum have the most potential energy?
A
B
O
A and B
Same speed at all points
At which point does this pendulum have the most kinetic energy?
A
B
O
A and B
Same speed at all points
You observe that a pendulum completes 45 complete cycles in ninety seconds. What is the frequency of this pendulum?
100 m
1 Hz
0.5 Hz
1m/s
Given an expression of a SHM
x = 10 sin (11.4t). Calculate the time taken when x=10 cm for the 1st time
0.138 s
1.24 s
11.11 s
0.79 s
The amplitude and period in a SHM is 0.5 m and 0.4 s respectively. The equation of SHM will be:
x=0.5 sin 5πt
x=0.5 sin 4πt
x=0.5 sin 2.5πt
x=0.5 sin 0.8πt
What is the period for this waveform?
2 s
1 s
4 s
0.75 s
A spring has a spring constant of 450 N/m. How far is the spring compressed if 150 N of force are used?
2.2 m
3m
5.0 m
0.3 m
According to the graph, what is the amplitude of this oscillation?
1 m
2 m
1 s
2.2 s
According to the graph, what is the period for this oscillator?
1 s
2.1 s
0.5 s
5 s
Which of the pendulums would have the shortest period?
1
2
3
4
5
Angular velocity of body attached with horizontal mass spring system is given by
ω=mk
ω=mk
ω=mk
ω=mk
