A helicopter has two blades (see Figure 8.14), each of which has a mass of 240 kg and can be approximated as a thin rod of length R = 7.6 m. Figure 8.14 The blades are rotating at an angular speed of 39 rad/s.(a) What is the total moment of inertia of the two blades about the axis of rotation?  kg·m2 (b) Determine the rotational kinetic energy of the spinning blades.  J

Q: A 250 gg , 25-cm-diameter plastic disk is spun on an axle through its center by an electric motor.…

A:

Q: A person sitting on a rotating stool has two weights in his hands, each with a 10Kg dough. When…

A: Given data: The magnitude of weights in hand is m=10 kg. Distance from axis of rotation is r1=0.9…

Q: 6. A horizontal circular disk rotates freely about a vertical axis through its center. It has a mass…

A: Mass of the circular disc (M)=100 kg Radius of the circular disc (R)=2 m Mass of the person (m)=60…

Q: A pitcher throws a curveball that reaches the catcher in 0.22 s. The ball curves because it is…

A:

Q: A student sits on a rotating bench freely holding two weights, each with a mass of 3.00 kg, (see…

A:

Q: A toy top with a spool of diameter 5.5 cm has a moment of inertia of 2.8x10-5 kg. m² about its…

A: Given data: The diameter of the spool, D=5.5 cm=0.055 m The radius of the spool is, r=2.75 cm=0.0275…

Q: A typical propeller of a turbine used to generate electricity from the wind consists of three blades…

A: Given: Length of blade L=30 m Mass of blade m=400 Kg Angular speed w= 28 rev/min To find: a) Angular…

Q: A torque of magnitude 50Nm acts for 10 seconds to start a small merry-go-round (I = 1/2*m*r^2 ) of…

A: Given data:  Torque (τ) = 50 Nm Time (t) = 10 seconds Moment of inertia (I) = (1/2)mr2 Radius (r) =…

Q: A professor sits on a rotating stool that is spinning at 10.0 rpm while she holds a heavy weight in…

A:

Q: A professor sits on a rotating stool that is spinning at 10.0 rpm while she holds a heavyweight in…

A: L: angular momentum Just as p = mv, L = Iω, I = sum of mr² L₀ = 2mr₀²ω₀ Lf = 2mrf²ωf

Q: The figure gives the speed v versus time t for a 0.522 kg object of radius 9.77 cm that rolls…

A: See below

Q: A professor sits on a rotating stool that is spinning at 10.0 rpm while she holds a heavy weight in…

A:

Q: horizontal platform in the shape of a circular disk rotates on a frictionless bearing about a…

A:

Q: A solid sphere of mass 2 kg and diameter 15 cm rotates about its center at rate 2 rad/s.  What is…

A: Given: The mass of the sphere is 2 kg. The diameter is 15 cm. The angular speed is 2 rad/s.

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

A: Write the given values with suitable variables. α=37.5 rad/s2I=0.75 kg.m2r=1.8 cm=0.018 m Here, α,…

Q: A wind turbine has 3 blades: each of which measure 38 m long and has a mass of 5216 kg. The three…

A:

Q: A 4 kg ball with a 0.5 m radius rolls at a constant 4 rad/s. The rotational inertia of the ball is…

A:

Q: A professor sits on a rotating stool that is spinning at 10.0 rpm while she holds a heavy weight in…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: At time t = 0, a 3.0 kg particle with velocity v = (5.0 m/s)i - (6.0 m/s)j is at x = 3.0 m, y = 8.0…

A: Mass of particle is Velocity is Position coordinates of particle are Force is  acting along…

Q: A potter's wheel with a moment of inertia of 0.1 kg-m² is spinning freely at 35.17 rpm. The potter…

A: in this question we determine mass in kg.

Q: The figure below shows top and side views of two disks. The larger disk has a rotational inertia of…

A:

Q: A figure skater is spinning at 10.8 rad/s with her arms extended. Her rotational inertia is 2.50…

A:

Q: A spaceship is traveling at a velocity of v0 = (44.7 m/s)i when its rockets fire, giving it an…

A: Given:-  The initial velocity of the rocket is v0 = (44.7 m/s) i  The acceleration a = (3.34 m/s2)i…

Q: A horizontal platform in the shape of a circular disk rotates on a frictionless bearing about a…

A:

Q: A helicopter has two blades (see figure), each of which has a mass of 240 kg and can be approximated…

A: Given: The mass of each blade is 240 kg. The length of the blade is 6.7 m. The angular speed is 57…

Q: The propeller of a light plane has a length of 1.772 m and a mass of 21.96 kg. The propeller is…

A: The objective of the question is to calculate the rotational kinetic energy of the propeller. The…

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: An airplane propeller rotates with an angular speed of 312 rad/s through what angle does the…

A: Given data: ω=312 rad/st=4.3 s Need to determine the angle does the propeller rotate in 4.3 seconds.

Q: The masses and coordinates of four particles are as follows: 40 g, x = 3.0 cm, y 3.0 cm, y = 1.0 cm;…

A:

Q: A professor sits on a rotating stool that is spinning at 10.0 rpm while she holds a heavy weight in…

A:

Q: The drive chain in a bicycle is applying a torque of 0.76 Nm to the wheel of the bicycle. The wheel…

A: Given:-  The driver chain in a bicycle is applying a torque τ= 0.76 N  The moment inertia I = 0.24…

Q: A typical helicopter with four blades rotates at 300 rpm and has a kinetic energy of 2.45  105 J.…

A: Using rotational kinetic energy,

Q: A professor sits on a rotating stool that is spinning at 10.0 rpm while she holds a heavy weight in…

A: (given) Initial angular speed = 10 rpm Final angular speed = 40.5 rpm Distance (r1) of the weight…

Q: A professor sits on a rotating stool that is spinning at 10.0 rpm while she holds a heavy weight in…

A: Given:  Initial angular speed, ω₁ = 10.0 rpm  distance of the weight from the axis of rotation, r₁ =…

Q: A figure skater performs a twisting jump. She rotates around her longitudinal axis 2 times in 0.65…

A: Given data:  Angular displacement (Δθ) = 2 rev Time (t) = 0.65 s Required: The average angular…

Q: Asha needs the plate's moment of inertia ?I with respect to given rotation axis. Calculate ?I .

A: we can apply parallel axis theorem  Iaxis=ICM+Mr2

Q: A bicycle has wheels of radius 0.320 m. Each wheel has a rotational inertia of 0.0800 kg⋅m2 about…

A:

Q: A typical helicopter with four blades rotates at 300 rpm and has a kinetic energy of 2.45  105 J.…

A: Calculate the angular speed. Angular speedω=2πRotational speed N60                          =2π300…

Q: A skater is spinning about a fixed symmetrical vertical axis. When she lifts her arms above her…

A: Initial moment of inertia is Final moment of inertia is Find:The ratio of final rotational energy to…

Q: A bicycle rides past you at a speed of 7.80 m/s. Its wheel has a diameter of 42.9 cm and a moment of…

A:

Q: A top has a moment of inertia of 11.8 kg-m^2. The top is spinning at 68 rpm. How much rotational…

A:

Q: A person pushes on a lever 0.7 meters away from the axis of rotation with 100 N of force. The…

A:

Q: A 5 kg ball with a 0.4 meter radius is rolling on a horizontal surface at 3 m/s. The rotational…

A: Given: The mass (m) of the ball is 5 Kg. The radius (r) of the ball is 0.4 m. The linear velocity…

Q: her position and changes her speed of rotation to 1.44 rps. What is her new moment of inertia in the…

A: GivenInitial angular speed, ωi=3.05 rpsIntial moment of inertia, Ii=1.04 kg/m2Final angular speed,…

Q: An ice skater spins at 13.2 rad/s with her arms extended. If her moment of inertia with arms folded…

A: Given : Angular velocity of the ice skater when arms extended, ω1 = 13.2 rad/s Moment of inertia…

Torque

Torque is the rotational equivalent of linear force in physics and mechanics. Based on the course of study, it is also known as the moment of force, rotational force, or turning effect.