Question

A 10 g hoop has a radius of 15 cm. A force vector of F =...

A 10 g hoop has a radius of 15 cm. A force vector of F = 10i -30j mN   acts on the wheel at position vector r = 15i cm . What is the magnitude of the angular acceleration of the wheel?

Homework Answers

Answer #1

Force vector is

The position vector is

Torque on the hoop is

Magnitude of torque is

Mass of hoop is M=10g=0.010kg

Radius of the hoop is R=15cm=0.15m

Moment of inertia of the hoop is

The angular acceleration produced by the torque is

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
a) At a certain instant, a rotating turbine wheel of radius R has angular speed ω...
a) At a certain instant, a rotating turbine wheel of radius R has angular speed ω (measured in rad/s). What must be the magnitude α of its angular acceleration (measured in rad/s2) at this instant if the acceleration vector a⃗ of a point on the rim of the wheel makes an angle of exactly 30∘ with the velocity vector v⃗ of that point? Express your answer in terms of some or all of the variables R and ω. b) At...
A string is attached to the rim of a small hoop of radius r = 8.00×10−2...
A string is attached to the rim of a small hoop of radius r = 8.00×10−2 m and mass m = 0.180 kg and then wrapped several times around the rim. If the free end of the string is held in place and the hoop is released from rest and allowed to drop. calculate the angular speed and the translational speed of the rotating hoop after it has descended h = 0.750 m . Use g = 9.80 m/s2 for...
A string is attached to the rim of a small hoop of radius r = 8.00×10−2...
A string is attached to the rim of a small hoop of radius r = 8.00×10−2 m and mass m = 0.180 kg and then wrapped several times around the rim. If the free end of the string is held in place and the hoop is released from rest and allowed to drop, as shown in the figure (Figure 1), calculate the angular speed and the translational speed of the rotating hoop after it has descended h = 0.750 m...
A green hoop with mass mh = 2.4 kg and radius Rh = 0.14 m hangs...
A green hoop with mass mh = 2.4 kg and radius Rh = 0.14 m hangs from a string that goes over a blue solid disk pulley with mass md = 2.3 kg and radius Rd = 0.08 m. The other end of the string is attached to an orange block on a flat horizontal surface that slides without friction and has mass m = 3.6 kg (see Figure 1). The system is released from rest. (a) What is magnitude...
a standard turntable has a radius of 15 cm and spins at 33 rpm 1. What...
a standard turntable has a radius of 15 cm and spins at 33 rpm 1. What is the turntable's frequency? period? angular frequency? Linear (tangential) speed of a point on the edge of the turntable Suppose that a .10gram coin rests near the edge of the turntable as the turntable spins 1. Find the magnitude of the acceleration of the coin. 2. Fine the magnitude of the net force acting on the coin. Which force(s) are primarily responsible for creating...
The combination of an applied force and a frictional force produces a constant torque of 40...
The combination of an applied force and a frictional force produces a constant torque of 40 N·m on a wheel rotating about a fixed axis. The applied force acts for 8.0 seconds, during which time the angular speed of the wheel increases from 0 to 700 degrees/second. The applied force is then removed, and the wheel comes to rest in 55 s. Answer the following questions. (a)What is the magnitude of the angular acceleration of the wheel while the applied...
A potter's wheel, that has a radius R=15 cm and weighs 70 kg, is used to...
A potter's wheel, that has a radius R=15 cm and weighs 70 kg, is used to mold pottery clay. A 5 kg solid ball of clay, with a radius of r ball=6 cm, is placed in the center of the wheel and both get spun up to 50 rad/s. If you are able to form the clay into a solid disk with a radius of r disk=10 cm without applying any net torque on the wheel (you press from above...
A hollow cylinder (hoop) of mass M and radius R starts rolling without slipping (with negligible...
A hollow cylinder (hoop) of mass M and radius R starts rolling without slipping (with negligible initial speed) from the top of an inclined plane with angle theta. The cylinder is initially at a height h from the bottom of the inclined plane. The coefficient of friction is u. The moment of inertia of the hoop for the rolling motion described is I= mR^2. a) What is the magnitude of the net force and net torque acting on the hoop?...
A bicycle wheel has a diameter of 64.2 cm and a mass of 1.82 kg. Assume...
A bicycle wheel has a diameter of 64.2 cm and a mass of 1.82 kg. Assume that the wheel is a hoop with all of the mass concentrated on the outside radius. The bicycle is placed on a stationary stand and a resistive force of 116 N is applied tangent to the rim of the tire. (a) What force must be applied by a chain passing over a 9.04-cm-diameter sprocket in order to give the wheel an acceleration of 4.56...
A bicycle wheel has a diameter of 63.4 cm and a mass of 1.83 kg. Assume...
A bicycle wheel has a diameter of 63.4 cm and a mass of 1.83 kg. Assume that the wheel is a hoop with all of the mass concentrated on the outside radius. The bicycle is placed on a stationary stand and a resistive force of 121 N is applied tangent to the rim of the tire. (a) What force must be applied by a chain passing over a 8.95-cm-diameter sprocket in order to give the wheel an acceleration of 4.51...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT