To develop muscle tone, a woman lifts a 4.00 kg weight held in her hand. She uses her biceps muscle to flex the lower arm through an angle of 60.0°. (a) What is the angular acceleration (in rad/s2) if the weight is 24.0 cm from the elbow joint, her forearm has a moment of inertia of 0.250 kg · m2, and the net force she exerts is 650 N at an effective perpendicular lever arm of 2.20 cm? (Ignore gravity) (b) How much work (in J) does she do

To develop muscle tone, a woman lifts a 4.00 kg weight held in her hand. She uses her biceps muscle to flex the lower arm through an angle of 60.0°. (a) What is the angular acceleration (in rad/s2) if the weight is 24.0 cm from the elbow joint, her forearm has a moment of inertia of 0.250 kg · m2, and the net force she exerts is 650 N at an effective perpendicular lever arm of 2.20 cm? (Ignore gravity) (b) How much work (in J) does she do

Related questions

Q: A uniform 2.2-kg cylinder can rotate about an axis through its center at O. The forces applied are:…

A: Page 1

Q: A shaft is turning at 89.5 rad/s at time t = 0. Thereafter, its angular acceleration is given by α =…

A: The angular speed of the shaft at any time t can be found by integrating the angular acceleration…

Q: A circular disk has a rotational inertia of 7.2 kg.m² and a constant angular acceleration of 6.6…

Q: A soccer player extends her lower leg in a kicking motion by exerting a force with the muscle above…

Q: A ball (mass = 8.5 kg) is rolling at a constant angular acceleration of 1.670 rad/s2. If its…

A: According to the rotational kinematics equation, the angular displacement of the particle is,…

Q: Problem 7: The triceps muscle in the back of the upper arm is primarily used to extend the forearm.…

A: Write the given values with the suitable variables. F=2.05×103 Nr=3.25 cm=3.25×10-2 mα=105 rad/s2…

Q: A spinning flywheel has rotational inertia I= 401 kg·m2. Its angular velocity decreases from 20.0…

A: The frictional torque acting on the flywheel can be calculated using the equation of rotational…

Q: To develop muscle tone, a woman lifts a 3.30 kg mass held in her hand. She uses her biceps muscle to…

Q: The wheels , axle, and handles of a wheel-barrow weigh 117 N (W). What is the force F needed to hold…

Q: Suppose you exert a force of 192 N tangential to a 0.235 m radius 75.0 kg grindstone (a solid disk).…

A: Given: The tangential force is 192 N. The radius of the disk is 0.235 m. The mass of the disk is…

Q: The figure shows a meter stick, which can pivot about an axis indicated by the black dot (at 25 cm).…

A: The net torque acting on the system is, ∑τ=IαF1R1+F2R2cosθ=Iαα=F1R1+F2R2cosθI

Q: The rotational inertia of a disk about its axis is 5.3kg.m^2. When a 7.1 kg weight is added to its…

Q: : The triceps muscle in the back of the upper arm is primarily used to extend the forearm. Suppose…

A: Calculate the torque of the arm. τ=F×rτ=(2.25×103 N)(2.9 cm×1 m100 cm)τ=65.25 N⋅m

Q: If you hold your arm outstretched with your palm upward, the force to keep your arm from falling…

Q: A horizontal force of P= 100 N is applied to the 330-kg reel of cable. The reel rests on rollers at…

Q: The triceps muscle in the back of the upper arm extends the forearm. This muscle in a professional…

A: Given data: Force (F) = 2167 N Perpendicular lever arm = 2.15 cm = 0.0215 m Angular acceleration (α)…

Q: The flywheel of an engine has moment of inertia 1.10 kg⋅m2 about its rotation axis. What constant…

A: Given data: Moment of inertia (I) = 1.10 kg.m2 Initial angular velocity (ω0) = 0 rad/s Final…

Q: A uniform 2.7-kg cylinder can rotate about an axis through its center at O. The forces applied are:…

A: A uniform cylinder having mass(m)=2.7kg can rotate about an axis through its center at O. The forces…

Q: The rotational inertia of a disk about its axis is 2.9kg.m^2. When a 5.2 kg weight is added to its…

A: Given data: Initial rotational inertia of the disk I0 = 2.9 kg.m2 Mass (m) = 5.2 kg Distance from…

Q: To develop muscle tone, a woman lifts a 2.50 kg weight held in her hand. She uses her biceps muscle…

A: Given Data :- The mass of weight lifted by the women is M = 2.50 kg. The angle of flex is θ = 60o.…

Q: A skater is initially spinning at a rate of 10.0 rad/s with a rotational inertia of 2.90 kg·m2 when…

A: Given : Initial angular velocity (wi) = 10.0 rad/s Initial rotational inertia (Ii) = 2.90 kg·m2…

Q: A motor spins a disk (Idisk = 25.5 kg*m2) with a torque of 39 N*m, and a 18 N frictional force acts…

A: Given,Idisk = 25.5Kg.m2Torque = T = 39NmFrictional force F = 18Nradius of disk r = 1.4mattached disk…

Q: A skater is initially spinning at a rate of 19.0 rad/s with a rotational inertia of 3.30 kg·m2 when…

A: The objective of the question is to find the final angular velocity of the skater after she pulls…

Q: A blender is on the "puree" setting, giving it an angular velocity of 370 rad/s. When the "blend"…

A: Given data: Initial angular velocity (ω0) = 370 rad/s Angular acceleration (α) = 1760 rad/s2 Time…

Q: A solid cylinder of mass 4.6 kg and radius 0.6 m starts from rest at the top of a ramp, inclined…

A: Solution:Given:m = mass of solid cylinder = 4.6 kgr = radius of solid cylinder = 0.6 mθ = angle of…

Q: The triceps muscle in the back of the upper arm extends the forearm. This muscle in a professional…

A: Given data: Force (F) = 1879 N Perpendicular lever arm (r.sinθ) = 3.55 cm = 0.0355 m Angular…

Question

To develop muscle tone, a woman lifts a 4.00 kg weight held in her hand. She uses her biceps muscle to flex the lower arm through an angle of 60.0°.

(a)

What is the angular acceleration (in rad/s²) if the weight is 24.0 cm from the elbow joint, her forearm has a moment of inertia of 0.250 kg · m², and the net force she exerts is 650 N at an effective perpendicular lever arm of 2.20 cm? (Ignore gravity)

(b)

How much work (in J) does she do?

Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

A solid cylindrical disk has a radius of 0.12 m. It is mounted to an axle that is perpendicular to the circular end of the disk at its center. When a 40-N force is applied tangentially to the disk, perpendicular to the radius, the disk acquires an angular acceleration of 100 rad/s2. What is the mass of the disk? kg
Suppose a yo-yo has a center shaft that has a 0.280 cm radius and that its string is being pulled. (a) If the string is stationary and the yo-yo accelerates away from it at a rate of 1.40 m/s2, what is the angular acceleration of the yo-yo in rad/s2? rad/s? (b) What is the angular velocity in rad/s after 0.750 s if it starts from rest? rad/s (c) The outside radius of the yo-yo is 3.80 cm. What is the tangential acceleration in m/s2 of a point on its edge? m/s?
The triceps muscle in the back of the upper arm extends the forearm. This muscle in a professional boxer exerts a force of 1559 N with an effective perpendicular lever arm of 3.25 cm, producing an angular acceleration of the forearm of 110.0 rad / s?. What is the moment of inertia of the boxer's forearm? moment of inertia: kg m?
To a light beam (of negligible mass), two antiparallel forces are applied, as shown in the figure. These forces cause a net torque equal to 7.5 Nm (and with the same direction as that caused by F2) at the left end of the beam. If F1 = 10.7 N and F2 = 5.4 N, determine the distance "l" that separates them
A machine part rotates at an angular speed of 0.066 rad/s; its speed is then increased to 2.3 rad/s at an angular acceleration of 0.80 rad/s2. (a) Find the angle through which the part rotates before reaching this final speed. rad (b) If both the initial and final angular speeds are doubled and the angular acceleration remains the same, by what factor is the angular displacement changed? by a factor of 2 by a factor of 4 by a factor of 16 The angular displacement doesn't change.
If you hold your arm outstretched with your palm upward, the force to keep your arm from falling comes from your deltoid muscle. Assume that the arm with hand has mass 4.25 kg and the distances and angles shown. What is the magnitude of the torque must the deltoid muscle provide to keep the arm in this position, in N·m? Use g = 10.0 m/s2. Your answer needs to have 3 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.
Calculate the rotational inertia of a meter stick, with mass 0.594 kg, about an axis perpendicular to the stick and located at the 41.3 cm mark. (Treat the stick as a thin rod.) Number i ! Units kg-m^2
A small grinding wheel has a moment of inertia of 4.0 x 10-5 kg ⋅ m2. What net torque must be applied to the wheel for its angular acceleration to be 150 rad/s2?
increased from 3 rps to 4 rps in6.28 sec. its 0. 35 : The frequency of rotation of ceiling fan average angular acceleration is (a) 0.1 rad / s? (b) 10 rad/s? (c) 1 rad/s? (c) 100 rad/s?
Calculate the rotational inertia of a meter stick, with mass 0.67 kg, about an axis perpendicular to the stick and located at the 39 cm mark. (Treat the stick as a thin rod.) X kg · m2
A circular disk has a rotational inertia of 8.9 kg.m² and a constant angular acceleration of1.9 rad/s². If it starts from rest the work done during the first 7.5 s by the net torque acting on it is:
Solve it correctly .I will rate it.