drive has a maximum speed of 12,000 revolutions per minute. If a disc has a diameter of 12 cm, what is the linear speed, in km/h, of a point 5 cm from the center if the disc is spinning at a rate of 7000 revolutions per minute?

Q: Suppose the wheel of Dan’s bike is 70cm in diameter. It’s turning at a rate of 50 revolutions per…

A: In this question we have to find the linear speed in cm per minute.

Q: 5. A kite 100 feet above the ground is being blown away from the person holding its string in a…

A: So, here x2+1002=s2...(1) Given dxdt=10 Now, at s=200, from (1):…

Q: An airplane heading due east has a velocity of 200 miles per hour. A wind is blowing from the north…

A: The velocity of the plane=200 mph  The wind hits the plane in the direction of south. so, the…

Q: If a wind turbine with radius 15 feet makes 52 full revolutions every 1 minute, what is its linear…

A: To find the linear speed

Q: A mixing blade on a food processor extends out 3 inches from its center. If the blade is turning at…

A: Given: A mixing blade on a food processor extends out 3 inches from its center. That is,…

Q: At noon, ship A is 160 km north of ship B. Ship A is sailing south at 40km/h and ship B is sailing…

A:

Q: A neighborhood carnival has a merrygo-round whose radius is 25 feet.If the time for one revolution…

A: Since,it is known that the speed can be calculated by using the formula speed=Radius×Angular…

Q: The restaurant in the Space Needle in Seattle rotates at the rate of one revolution per hour (or one…

A: The restaurant in the Space Needle in Seattle rotates at the rate of one revolution per hour. And…

Q: To what constant deceleration would a car moving along a straight road be subjected if the car were…

A: The first equation of motion states that, v = u+at, here v is the final velocity, u is the initial…

Q: Grumpy, anti-social Professor Sosa loves standing on top of a 262 ft building and tossing water bal-…

A:

Q: A drive has a maximum speed of 12,000 revolutions per minute. If a disc has a diameter of 14 cm,…

A:

Q: If an object has a speed of r feet per second and travels adistance d (in feet) in time t (in…

A: an object has a speed of r feet per second and travels adistance d (in feet) in time t (in seconds)

Q: A certain escalator travels at a rate of 13.4 meters per minute, and its angle of inclination is…

A: So from the triangle we have: Answer(a): Vertical component of the velocity is 6.1667 meters per…

Q: A train 220 m long is running with a speed of 59 kmph . In what time wil it pass a man who is…

A:

Q: At noon, ship A is 150 km west of ship B. Ship A is sailing east at 35 km/h and ship B is sailing…

A: distance between the ship A and B is 150 km speed of ship A is 35km/h so at time t, the distance…

Q: One ship is sailing south at a rate of 5 knots, and another is sailing east at a rate of 10 knats.…

A: Let the time at 2:00 Pm be t  The two ships will form a right angled triangle, with horizontal side…

Q: Two airplanes are flying in the air at the same height: airplane A is flying east at 290 mi h and…

A: Given that:                      Speed of plain A, vA=290 mi/hSpeed of plain B, vB=290 mi/hDistance…

Q: If a snowball melts so that its surface area decreases at a rate of 7 cm2/min, find the rate at…

A: Solve using increasing & decreasing function.

Q: At noon, ship A is 180 km west of ship B. Ship A is sailing east at 40 km/h and ship B is sailing…

A: Given that  At noon, ship A is 180 km west of ship B. Ship A is sailing east at 40 km/h and ship B…

Q: At noon, ship A is sailing north at a speed of 7mph, at the same time ship B, 5 miles west of ship…

A: Given, at noon, Ship A is sailing north at a speed of 7mph. At the same time, Ship B, which is 5…

Q: On a carousel, the outer row of animals is 20 feet from the center. The inner row of animals is 10…

A: Given  the outer row of animals is 20 feet from the centre The inner row of animals is 10 feet from…

Q: A magnitude of 700 pounds of force is required to hold a boat and its trailer in place on a ramp…

A: Given: A magnitude of 700 pounds of force is required to hold a boat and its trailer in place on a…

Q: If a snowball melts so that its surface area decreases at a rate of 9 cm2/min, find the rate at…

A:

Q: Suppose a cyclist was using a 150-millimeter-diameter chainring and an80-millimeter- diameter…

A: Given: Let, dc  and rc denotes the diameter and radius of Chainring respectively and ds  and  rs…

Q: A motorcycle traveling at a speed of 34.0 mi/h needs a minimum of 44.0 ft to stop. If the same…

A: Stopping distance is given by the formula d=kv2

Q: Find the velocity, v, of the tip of the minute hand of a clock, if the hand is 8 cm long. cm per…

A: Given  r= 8 cm or 0.08 m  Calculate linear velocity (v) Formula for linear velocity is given by  V =…

Q: Two buses are driving along parallel freeways that are 12 miles apart with one bus heading east and…

A:

Q: Two buses are driving along parallel freeways that are 20 mi apart, one heading east and the other…

A: In right angle triangle , B2  + P2 = H2   ( Using Pythagoras Theorem ) Where B is base , P is…

Q: One ship is sailing south at a rate of 5 knots, and another is sailing east at a rate of 10 knots.…

A: Given that at time 2 p.m the second ship is at the place occupied by the first ship one hour before.…

Q: a of 3 inche tall and has a radius of 2 inches How fast does the water level rise when the water is…

A:

Q: Jamal is flying a kite on a string, and it is 100 ft above the ground. At the point that Jamal has…

A: Jamal is flying a kite on a string, and it is 100 ft above the ground. At the point that Jamal has…

Q: At noon, ship A is 170 km west of ship B. Ship A is sailing east at 35 km/h and ship B is sailing…

A:

Q: At noon, ship A is 170 km west of ship B. Ship A is sailing east at 40 km/h and ship B is sailing…

A: Take the position of ship B as the origin. So the coordinates of ship A are: (-170,0) Coordinates of…

Q: If a snowball melts so that its surface area decreases at a rate of 1 cm²/min, find the rate at…

A: 1) Let A be the surface area  r = radius of the sphere D = diameter of sphere = 10 cm…

Q: What is the displacement of an object that travels at a constant velocity of 10 mi/hr for a half…

A: Consider the given information 10mihr for a half hour and  20mihr for a next half hour and 30mihr…

Q: A bridge is to be built in the shape of a semi-elliptical arch and is to have a span of 80 feet. The…

A: The standard form for the equation of an ellipse with enter (h, k), horizontal major axis of…

Q: At noon, ship A is 180 km west of ship B. Ship A is sailing east at 40 km/h and ship B is sailing…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: A carousel has a radius of 17 feet and takes 28 seconds to make one complete revolution. What is the…

A: Given that the radaius of circle (r)= 17 feettime taken to complete one revolution =28 secThe…

Q: At noon, ship A is 170 km west of ship B. Ship A is sailing east at 40 km/h and ship B is sailing…

A: In this question we have to find how fast is the distance between the ships is changing at 4:00 PM.

Q: A kite, 120 ft above the ground, is moving horizontally at the rate of 10 ft/sec. At what rate is…

A:

Q: The ends of a trough, 8 ft in length, are isosceles triangles with height 2ft and base 4ft. Water is…

A: Rate of change

Q: If a snowball melts so that its surface area decreases at a rate of 4 cm4/min, find the rate at…

A: Note that snowball has a shape of sphere.

Q: At noon,ship a is 130 km west of ship b.Ship a is sailing east at 25 km/h and ship b is sailing…

A:

Q: At noon, ship A is 170 km west of ship B. Ship A is sailing east at 35 km/h and ship B is sailing…

A:

Q: When a rocket is 3 kilometers high, it is moving vertically upward at a speed of 400 kilometers per…

A:

Q: An aircraft is climbing at a constant 32 degree angle to the horizontal. If the speed is 550 mph,…

A: Refer to the question . An aircraft is climbing at a constant 32 degree angle to the horizontal and…

Q: The force of the wind blowing on a vertical surface varies jointly as the area of the surface and…

A:

Q: A baseball diamond has equal sides of 90ft in length and each pair of adjacent sides are…

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Q: A trough is 12 ft long and its ends have the shape of isosceles triangles that are 2 ft across at…

A: Let the volume of the water in the trough at time be V. The rate of change of V is,

Q: Given that the radius of earth is approximately 3950 miles, and it takes 24 hours to the earth to…

A: a)-    Angular speed is given by,                                              ω=2πTime periodSo,…