The radius of the wheel is 70.0 cm and the moment of inertia is 5.40 kg·m2. The wheel starts at rest (t = 0 s) and applies a torque of 80.0 N·m. (a) How far did a point on the outer edge of the wheel travel in the first 10 seconds? (b) What is the translation (linear) acceleration vector at δ t = 10 seconds?

Q: Magnitude and direction of torque for each case?

A: According to the company policy, only first three parts will be answered here. Please post the rest…

Q: The rotor of a motor rotating initially with an angular speed of 30 rad/s is sped up to 60 rad/s…

A: The expression for find applied torque is τ=Iωf2-ωi22θ

Q: The four particles in the figure are held together by solid rods of negligible mass. (m) 5.00 kg…

A:

Q: Find the magnitude of the net torque (in N.m) on the wheel shown in the Figure about the axle…

A: Solution: Given that F =36 N a = 5 cm b = 20 cm

Q: A particle is located at the position vectorr = (9.00î + 11.00j) m and a force exerted on it is…

A: Position vector r=9i+11j and Force F = 8i+7j N   solution:-    F→=8i^+7j^ N   T→=-25K^ N‐m…

Q: A particle is located at the position vector r = (7.00î + 10.00j) m and a force exerted on it is…

A: →r = 7 i^ + 10 j^→F = 5i^ + 4 j^ Torque is given by the cross product of r and F Therefore , →r ×…

Q: In unit-vector notation, what is the net torque about the origin on a flea located at coordinates…

A: Given:               F→1= 1.06 k^  N               F→2= -7.18 j^  N∴  Net force F→= -7.18j^+…

Q: The 60.1cm diameter disk rotates counterclockwise on an axle through its center. F1=17.5N, F2=43.2N,…

A:

Q: A motorcyclist is traveling along a road and accelerates for 4.11 s to pass another cyclist. The…

A:

Q: When the particle has the position vector  r→ = (2.00 m) î - (3.00 m) ĵ + (2.00 m) k̂, the force…

A:

Q: At the instant shown in the figure, a 2.0 kg particle P has a position vector of magnitude 3.0 m and…

A: Torque about the origin τ→=r→×F→=rFsinθ3k^

Q: A disc with a mass of 1.31 kg rotates about an axis z (perpendicular to the disc) with an initial…

A: Given : Mass of the disc, m = 1.31 kg Initial angular velocity, w = 3.26 rad/s Moment of inertia, I…

Q: In the rotational motion experiment, a student wanted to measure the moment of inertia I of a disc,…

A: τ=Torque=8.2 NmI=Moment of inertiaα=Angular acceleration=28.34 rad/s2

Q: A wheel 2.15 m in diameter lies in a vertical plane and rotates about its central axis with a…

A: It is given that, d=2.15 mr=d2=1.075 mα=4.10 rad/s2θ=57.3o=1 radt=2 sωf=8.2 rad/sv=8.815 m/s

Q: The uniform rod (length 0.573 m) in the figure rotates in the plane of the figure about an axis…

A: Rotational Inertia= Irod=0.362 kg. m2 Angular speed(ωrod)=3.34 rad/s' Length of the rod (r)=0.573 m…

Q: Rigid rods of negligible mass lying along the y axis connect three particles. The system rotates…

A: a)the moment of inertia about x-axis is

Q: Suppose you have a long, thin rod of length 1.31m that is free to rotate about a fixed end.  If the…

A: Given in question: Length of rod(L) = 1.31 meters                                  Mass of rod(M) =…

Q: The calesa is a horse-drawn means of transportation in the Philippines. What is the moment of…

A: Given: The mass of the thin-walled cylinder is 2.5 kg. The radius of the cylinder is 0.50 m.…

Q: A compound disk of outside diameter 146 cm is made up of a uniform solid disk of radius 46.0 cm and…

A:

Q: A uniform solid disk with radius 8 cm has mass 0.5 kg (moment of inertia I = (1/2)MR²). A constant…

A: M= 0.5kg  R= 8cm  I = 0.5 MR2  F= 14 N  d= 22cm  w1 = 45 rad/s

Q: What is now the magnitude of the angular acceleration of the cylinder? 66.730 rad/s^2 How far does…

A:

Q: What is the moment of inertia about the axis of a solid cylinder with a mass of 20 kg, a radius of 5…

A:

Q: A 3.5-kg uniform solid disk of radius 350 cm rolls down a slope without slipping. If its elevation…

A: Using conservation of energy : KErotational + KE translational = PE  KE rotational = 12Iω2 ω=vR  I…

Q: In unit-vector notation, what is the net torque about the origin on a flea located at coordinates…

A: Required : The net torque.

Q: The angular position of a 0.360m-diameter flywheel is given by θ=(2.00 rad/s3)t3θ=(2.00 rad/s3)t3.…

A:

Q: In unit-vector notation, what is the net torque about the origin on a flea located at coordinates…

A:

Q: A wheel 2.00 m in diameter lies in a vertical plane and rotates with a constant angular acceleration…

A: Given : Diameter →d=2.00 m ⇒r=1.00 m Angular acceleration→4.00 rad /s2 Angle →θ=57.30°

Q: The specifications for a ceiling fan you have just bought indicate that the total moment of inertia…

A: Given data: Moment of inertia (I) = 0.17 kg.m2 Torque (τ) = 2.6 N.m Angular velocity (ω) = 320…

Q: A wheel of radius 0.427 m is mounted on a frictionless horizontal axis. The rotational inertia of…

A: From Newton’s second law of motion, the force equation for the system is:

Q: A flywheel with radius 0.300 m starts from rest and accelerates with a constant angular acceleration…

A: The tangential acceleration can be obtained as at=αr=0.600 rad/s20.300m=0.18m/s2

Q: The wheels of a wagon can be approximated as the combination of a thin outer hoop, of radius…

A: The radius of the hoop is rh = 0.421 m  The mass of the hoop is m = 5.46 kg  The mass of each rod m'…

Q: The wheels of a wagon can be approximated as the combination of a thin outer hoop, of radius = 0.156…

A: The moment of inertia of the old wheel will be the sum of the moments of inertia of the hoop and the…

Q: A cylinder with a diameter of 23 cm rolls with an angular speed of 0.30 rad/s on a level surface. If…

A:

Q: A motorcyclist is traveling along a road and accelerates for 6.94 s to pass another cyclist. The…

A: Given:Angular acceleration = 8.39 rad/s2Final angular velocity = 80.6 rad/sTime taken = 6.94 s

Q: The wheels of a wagon can be approximated as the combination of a thin outer hoop, of radius r =…

A: Given data: The radius of the wagon wheel is rb=0.156 m. The mass of the wagon wheel is mb=4.32 kg.…

Q: A wheel of radius 0.447 m is mounted on a frictionless horizontal axis. The rotational inertia of…

A:

Q: A student sits on a freely rotating stool holding two dumbbells, each of mass 3.00 kg. When his arms…

A: We know that since there is no external force applied, So angular momentum of student will remain…

Q: A flywheel is a mechanical device used to store rotational kinetic energy for later use. Consider a…

A: Moment of inertia is given by, I=12mr2 where m=mass and r=radius of flywheel For flywheel with r1…

Q: In the figure, the block has mass m=0.45 kg and the pulley is on a frictionless horizontal axle with…

A:

Q: A solid disk of radius 1.60 m and mass 2.30 kg  rolls without slipping to the bottom of an inclined…

A: Radius of the disc R=1.60 m The mass of the disc m=2.30 kg The angular velocity of the disk at the…

Q: A flywheel with radius of 0.300 mm starts from rest and accelerates with a constant angular…

A: Given data The radius is r=0.300 mm The angular acceleration is, α=0.5 rad/s2 The time is t=2.0 s…

Q: A block of mass mmm = 1.7 kg is attached to a string that is wrapped around the circumference of a…

A: Given, mass m = 1.7 kg radius r = 8.7 cm = 0.087 m linear speed v = 0.33 m/s.  height of h = 7.6 cm…

Q: We can model a small merry-go-round as a uniform circular disk with mass 88 kg and diameter 1.8 m.…

A: mass of disc, M = 88 kg diameter, d = 1.8 m radius, r = 0.9 m   mass of each child, m = 22 kg