A bicycle racer is going downhill at 12.0 m/s when, to his horror, one of his 2.45-kg wheels comes off when he is 61.0 m above the foot of the hill. We can model the wheel as a thin-walled cylinder 85.0 cm in diameter and neglect the small mass of the spokes. How fast is the wheel moving when it reaches the foot of the hill if it rolled without slipping all the way down? How much total kinetic energy does the wheel have when it reaches the bottom of the hill?

Q: diameter wheel, consisting of a rim and six spokes, is constructed from a thin, rigid plastic…

A: GivenDiameter of wheel, d=43 cm=0.43 mNumber of spokes=6Linear mass density, λ=25 g/cmHeight of hill…

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A: Given: The diameter is d=8.95 cm The mass is M=460 g=0.46 kg The height is h=3.30 m The angle is…

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A: Given data; Moment of inertia of disk is, I=12MR2. R is radius of disk. M is mass of disk.

Q: A thin rod has a length of 0.869 m and rotates in a circle on a frictionless tabletop. The axis is…

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Q: A 52 kg hoop of radius 1.7 m, initially rotating at 208 revolutions per minute, is brought smoothly…

A: please see the next step for solution

Q: A wheel starts from rest and uniformly increases angular speed to 0.24 rev/s in 26 sec.  What is…

A: Given: Initial angular speed ω0=0 rev/s Final angular speed ω=0.24 rev/s Time period t=26 s…

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A: In this problem the angular acceleration of the object is uniform so we can use equation of motion.

Q: A thin hoop has a mass of 8.25kg and a radius of 0.750m. It rolls (without slipping) down a ramp…

A: Given value--- mass = 8.25 kg. radius = 0.75 m. vertical height = 0.75 m. We have to find--- what…

Q: A hoop and a disk, both of 0.72- m radius and 2.0- kg mass, are released from the top of an inclined…

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Q: A 392 N wheel comes off a moving truck and rolls without slipping along a highway. At the bottom of…

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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…

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Q: (Q29-Q30) A double-slit interference pattern is observed on a screen 1.2 m behind two slits spaced…

A: Distance between fringe A and B = 0.4 cm = 0.004 m

Q: A 20cm radius turn-table is turning with a constant angular speed ω0=33rev/min . The turn-table has…

A: a) When gum falls on the table, its weight is the new force which starts acting in the downward…

Q: A propeller is modeled as five identical uniform rods extending radially from its axis. The length…

A: Moment of inertia of each rod = (1/3) M L2 Therefore, moment of inertia of 5 rods = (5) * (1/3) M L2…

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A:

Q: A turntable (disk) of radius r= 25.0 cm and rotational inertia 0.395 kg m rotates with an angular…

A: Given:-            radius of the disk = 25.0 cm             rotational inertia I1 = 0.395 kg/m2…

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Q: A student holds a bike wheel and starts it spinning with an initial angular speed of 9.0 rotations…

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Q: You are designing a lathe motor, part of which consists of a uniform cylinder whose mass is 140 kg…

A: Note: As per the rules we can answer only 3 sub-parts, please post the remaining sub-parts as the…

Q: A 24 g block sits at the center of a turntable that rotates at 80 rpm.  A compressed spring shoots…

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Q: Two 1.5 kg spheres of radius 0.20 m are each rotating at 24 rad/s about axes that pass through their…

A: Given, Mass of sphere m = 1.5 Kg Radius r = 0.20 m angular velocity ω=24 rad/sec Torque t = 0.12 Nm…

Q: John wanted to measure the objects angular speed at the bottom of the hill. He built the inclined…

A: Given data: The diameter of sphere is D=317 cm. Mass of sphere is m=45.2 kg. Length of ramp is…

Q: A wheel with a 15 cm radius rotating at 3 rad/s begins to speed up. After 5 seconds have passed, the…

A: Radius of the wheelInitial angular speed Time intervalNumber of complete rotation

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A: We can find moment of inertia(I)  by using the following formula:I = mr2m = mass of the point mass.r…