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An apple of mass m rotates at constant speed in a horizontal plane, tied to a rope. Α angle with rope vertical (see figure). The circle's radius is R. One complete turn of the apple takes τ seconds. Direction of rotation indicated in the figure. Apple approaches you at the S point. Q is the center of the circle. QP is the vertical distance. SQ plus In the x direction, QP is in the y direction and the z direction is tangent to the circle at point S and towards you. Gravitational acceleration g. Suppose the rope has no mass. Give your answers in terms of m, R, τ and g. What is the angle α?

An apple of mass m rotates at constant speed in a horizontal plane, tied to a rope. Α angle with rope vertical (see figure). The circle's radius is R. One complete turn of the apple takes τ seconds. Direction of rotation indicated in the figure. Apple approaches you at the S point. Q is the center of the circle. QP is the vertical distance. SQ plus In the x direction, QP is in the y direction and the z direction is tangent to the circle at point S and towards you. Gravitational acceleration g. Suppose the rope has no mass. Give your answers in terms of m, R, τ and g. D) What is the direction and magnitude of the sum of all forces acting on the apple at point S?

An apple of mass m rotates at constant speed in a horizontal plane, tied to a rope. Α angle with rope vertical (see figure). The circle's radius is R. One complete turn of the apple takes τ seconds. Direction of rotation indicated in the figure. Apple approaches you at the S point. Q is the center of the circle. QP is the vertical distance. SQ plus In the x direction, QP is in the y direction and the z direction is tangent to the circle at point S and towards you. Gravitational acceleration g. Suppose the rope has no mass. Give your answers in terms of m, R, τ and g. What is the velocity and angular velocity of the apple at point S in terms of magnitude?

An apple of mass m rotates at constant speed in a horizontal plane, tied to a rope. Α angle with rope vertical (see figure). The circle's radius is R. One complete turn of the apple takes τ seconds. Direction of rotation indicated in the figure. Apple approaches you at the S point. Q is the center of the circle. QP is the vertical distance. SQ plus In the x direction, QP is in the y direction and the z direction is tangent to the circle at point S and towards you. Gravitational acceleration g. Suppose the rope has no mass. Give your answers in terms of m, R, τ and g. C) What is the centripetal acceleration (in magnitude and direction) of the apple at point S?

Which answer choice is the answer for this question. Please explain also.

Two big bugs, Buzz and Crunchy each of mass 0.65 kg, are siting on a spinning disk on a horizontal plane. Buzz is sitting halfway and Crunchy is sitting at the outer edge as shown. The radius of the disk is 3 m and it rotates once every 1.2 s. What is the magnitude of the net force on Buzz, in Newtons? Your answer needs to have 2 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.

A hunter places a 1.0 kg rock in a sling and swings it in a horizontal circle around his head on a 1.0 m long vine. If the vine breaks at a tension of 200 N, what is the magnitude of the maximum tangential speed in SI units with which he can swing the rock? Please see the figure below.  Hint: Draw a free-body diagram for the stone, and let the coordinate axis (0,0) be centered on the stone. Also, assume the acceleration of the stone is along the x-axis.

Two bugs, Buzz and Crunchy, are siting on a spinning disk on a horizontal plane. Buzz is sitting halfway and Crunchy is sitting at the outer edge as shown. The radius of the disk is 0.80 m and the disk is rotating with an angular speed of 38 rpm. The coefficient of friction between the bugs and the disk are us = 0.80 and uk = 0.60. What is the magnitude of the friction force on Buzz, in Newtons? Buzz has a mass of 2.0 kg (I know, a big bug!). Your answer needs to have 2 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. Crunchy

A large centrifuge, like the one shown in figure (a), is used to expose aspiring astronauts to accelerations similar to those experienced in rocket launches and atmospheric reentries.ac = 8.25 gd = 17.5 m At what angular velocity is the centripetal acceleration 8.25 g if the rider is 17.5 m from the center of rotation? Give your answer in rad/s. ω =The rider’s cage hangs on a pivot at the end of the arm, allowing it to swing outward during rotation as shown in figure (b). At what angle θ below the horizontal will the cage hang when the centripetal acceleration is 8.25 g? Give your answer in degrees. θ =

A wind turbine has 12,000 kg blades that are 39 m long. The blades spin at 23 rpm .If we model a blade as a point mass at the midpoint of the blade, what is the inward force necessary to provide each blade's centripetal acceleration?Express your answer to two significant figures and include the appropriate units.

A laboratory centrifuge like the one shown in the figure operates with a rotational speed of 12000 rpm. a) What is the magnitude of the centripetal acceleration of a red blood cell that is at a radial distance of 8? 00 cm from the axis of rotation of the centrifuge? b) If there are 0.0166Kg of mass of red blood cells in the centrifuge, calculate the centripetal force.

Casting of molten metal is important in many industrial processes. Centrifugal casting is used for manufacturing pipes, bearings, and many other structures. A cylindrical enclosure is rotated rapidly and steadily about a horizontal axis, as in the figure below. Molten metal is poured into the rotating cylinder and then cooled, forming the finished product. Turning the cylinder at a high rotation rate forces the solidifying metal strongly to the outside. Any bubbles are displaced toward the axis so that unwanted voids will not be present in the casting.Suppose that a copper sleeve of inner radius 1.75 cm and outer radius 1.85 cm is to be cast. To eliminate bubbles and give high structural integrity, the centripetal acceleration of each bit of metal should be 137g. What rate of rotation is required? State the answer in revolutions per minute.

You have a horizontal grindstone (a disk) that is 87 kg, has a 0.31 m radius, is turning at 94 rpm (in the positive direction), and you press a steel axe against the edge with a force of 23 N in the radial direction. The kinetic coefficient of friction between steel and stone is 0.20. What is the number of turns, N, that the stone will make before coming to rest?

A car is accelerating from rest.  There is a 1.6 g pebble stuck in the tread of one of the tires 0.38 m from the center of rotation. The pebble is held in place with static friction which has a maximum value of 3.6 N. What speed does the car reach when the pebble pulls out of the tread?  Use Newton's 2nd Law and centripetal acceleration to solve this.  Think about the relationship between the translational speed of the car and the tangent speed of the pebble.

There is a CD-rom that's spinning a CD at 2,000 rpm. There is a bit of dirt, weighing 0.220 g, attached to the CD 3.50 cm from the centre. What must the force of friction between the CD and the dirt be so that the bit of dirt continues to rotate in a circle and doesn't fly off? Give your answers in units of mN (millinewton), to three significant figures

A student conducts an experiment in which a ball is spun in a vertical circle from a string of length 1 m, as shown in the figure. The student uses the following equation to predict the force of tension exerted on the ball whenever it reaches the lowest point of its circular path at a known tangential speed for various trials. ????????=? ?^2/r When the experiment is conducted, the student uses a force probe to measure the actual force of tension exerted on the ball.

A 83-kg pilot in training sits in a centrifuge that spins his seat around a central axis. When the seat is moving in its circular path at a speed of 3.0 m/s, he feels a 585-N force pressing against his back (the seat faces the axis). What is the radius of the centrifuge?

Merry-go-rounds are a common ride in park playgrounds. The ride is a horizontal disk that rotates about a vertical axis at their center. A rider sits at the outer edge of the disk and holds onto a metal bar while someone pushes on the ride to make it rotate. Suppose that a typical time for one rotation is 6.0 ss and the diameter of the ride is 16 ftft . 1. For this typical time, what is the speed of the rider, in m/sm/s? Express your answer in meters per second. 2. What is the rider’s radial acceleration, in m/s2m/s2? Express your answer in meters per second squared. 3.  What is the rider’s radial acceleration if the time for one rotation is halved? Express your answer in meters per second squared.

A wind turbine is rotating counterclockwise at 0.5 rev/s and slows to a stop in 10 s. Its blades are 20 m in length. The direction of the total linear acceleration of the tip of the blades at t=0s is Blank 4° counterclockwise. NOTE: Answer the D only, the other letter I already have answers to them. Thanks Round your answer to the nearest 2 decimal places.

Pls answer all of it and box the answers thank you

Please don't provide handwritten solution ...

A student conducts an experiment in which a ball is spun in a vertical circle from a string of length 1 m, as shown in the figure. The student uses the following equation to predict the force of tension exerted on the ball whenever it reaches the lowest point of its circular path at a known tangential speed for various trials. When the experiment is conducted, the student uses a force probe to measure the actual force of tension exerted on the ball. Why is the predicted force of tension different than the actual force of tension?

A student conducts an experiment in which a ball is spun in a vertical circle from a string of length 1 m, as shown in the figure. The student uses the following equation to predict the force of tension exerted on the ball whenever it reaches the lowest point of its circular path at a known tangential speed for various trials. When the experiment is conducted, the student uses a force probe to measure the actual force of tension exerted on the ball. Why is the predicted force of tension different than the actual force of tension?

A model airplane of mass 0.700 kg flies with a speed of 35.0 m/s in a horizontal circle at the end of a 66.0-m-long control wire as shown in Figure (a). The forces exerted on the airplane are shown in Figure (b): the tension in the control wire, the gravitational force, and aerodynamic lift that acts at ? = 20.0° inward from the vertical. Compute the radius, lift, and tension in the wire, assuming it makes a constant angle of ? = 20.0° with the horizontal. Use g=9.8 m/s2. Determine its lift, radius, and tension.

A block weights 150g and it’s attached to a 0.6m long string. The block starts from rest and begins to spin in a circle accelerating at a constant rate of 0.25 rad/s^2 on a horizontal surfaces if the string has a max tension of 5N. How long does it take for the string to break? How many revolutions did the block complete? Please Use the equations provided.