Question

In: Math

A ball of radius 17 has a round hole of radius 7 drilled through its center....

A ball of radius 17 has a round hole of radius 7 drilled through its center. Find the volume of the resulting solid.

Solutions

Expert Solution


Related Solutions

A frictionless vertical post is inserted into a bowling ball with a hole drilled through its...
A frictionless vertical post is inserted into a bowling ball with a hole drilled through its center. The ball has a mass of 10.5 kg. A rope is attached to a ring that has been affixed to the ball. Kurt pulls on the rope at an angle of 0 = 24.5° with respect to the vertical with a constant force of magnitude |F| = 134 N . (a) How much work does Kurt do on the bowling ball by raising...
A sphere with a hole drilled through its center is threaded onto a wire. The wire...
A sphere with a hole drilled through its center is threaded onto a wire. The wire is attached to an electric motor, causing the wire to revolve around the vertical axis as shown in the figure. The angular velocity (ω) does not change. The wire’s shape is given by z=b(r^2) where r is the distance from the z axis and b is a positive constant. Treat the sphere as a point mass; you may neglect friction in this problem. a/Write...
A thin 0.100-kg rod that is 350mm long has a small hole drilled through it 87.5mm...
A thin 0.100-kg rod that is 350mm long has a small hole drilled through it 87.5mm from one end. A metal wire is strung through the hole, and the rod is free to rotate about the wire. Part A Determine the rod's rotational inertia I about this axis. Express your answer with the appropriate units. I = ? Part B Determine the period of the rod's oscillation. Express your answer to two significant digits and include the appropriate units. T...
A Black Hole has an event horizon, located at the Schwartzschild radius from the center of...
A Black Hole has an event horizon, located at the Schwartzschild radius from the center of the black hole. The Schwartzschild radius of a black hole is proportional to its mass. We can write a handy version of this equation for stars in terms of Solar Masses as follows: R = 3M Where R is measured in kilometers and M in Solar Masses. So a 1 solar mass object (the Sun for example) if turned into a black hole would...
A 3/4" diameter hole is to be drilled through 3/4" thick piece of steel plate. The...
A 3/4" diameter hole is to be drilled through 3/4" thick piece of steel plate. The twist drill is to be fed at 0.025 ipr. Maximum cutting speed of 70 fpm is recommended. Calculate: A) Cutting time B) Metal Removal Rate (MRR)
A black hole has an event horizon radius of 3.00
A black hole has an event horizon radius of 3.00
A Ferris wheel with radius 14.0 m is turning about a horizontal axis through its center,...
A Ferris wheel with radius 14.0 m is turning about a horizontal axis through its center, as shown in the figure below. The linear speed of a passenger on the rim is constant and equal to 6.30m/s. A) What is the magnitude of the passenger's acceleration as she passes through the lowest point in her circular motion? Express your answer in meters per second squared to three significant figures. B) What is the direction of the passenger's acceleration as she...
A disk (radius 95.8 cm] rotates about a fixed axis through its center of mass and...
A disk (radius 95.8 cm] rotates about a fixed axis through its center of mass and perpendicular to the disk. At t = 0 the disk is rotating at frequency 6.47 Hz, and it accelerates uniformly to frequency 73.8 Hz after spinning through 38.4 revolutions. Find the angular acceleration of the disk, in rad/s2. The wheel of a cart has radius 53.9 cm. How many revolutions will it make if the cart goes 2.79 km? An electric fan is turned...
A hollow ball has mass M=2.0kg, radius R=0.35m, and moment of inertia about the center of...
A hollow ball has mass M=2.0kg, radius R=0.35m, and moment of inertia about the center of mass I=(2/3)MR2. The ball is thrown without bouncing, to the right with an initial speed 2.0m/s and backspin. The hoop moves across the rough floor (coefficient of sliding friction = 0.25) and returns to its original position with a speed of 0.5 m/s. All surfaces and the hoop may be treated as ideally rigid. Develop an expression for angular velocity of the hoop as...
A regulation table tennis ball has a mass of 2.7g and is 40mm in diameter. What is its moment of inertia about an axis that passes through its center?
A regulation table tennis ball has a mass of 2.7g and is 40mm in diameter. What is its moment of inertia about an axis that passes through its center?  
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT