A circular power saw has a 7 4-inch diameter blade that rotates at 5000 revolutions per minute. Find the linear speed (in feet per minute) of the platform rim of the carousel

Q: The tip of a windshield wiper travels a distance of 31 inches in one 90 revolution. What is the…

A: The tip of the windshield wiper travels a distance of 31 inches in one 90∘ revolution ,i.e., arc…

Q: The ________ speed of a particle is the ratio of the change in the central angle to the elapsed…

A: The ........ speed of a particle is the ratio of the change in the central angle to the elapsed…

Q: Find the linear speed v for the tip of the second hand of a clock, if the hand is 28 mm long

A: Given:           Length of second hand of clock is 28 mm long.

Q: A 20-foot support post leans against a wall, making a 70° angle with the ground. To the *nearest…

A: Length of the support post = 20foot Angle between ground and support post = 70° sinθ =…

Q: A lawn sprinkler located at the corner of a yard rotates through 90° and sprays water 30ft. What is…

A: Sector has 90° angle, Hence it is a quarter circle.

Q: A cone has a surface area of 200n square inches. If the radius of the cone is 10 inches, find the…

A: Given that Surface area and radius of base of cone are

Q: A 103-foot wire is used to support a utility tower. It runs from the tower to ground and forms a 24…

A: We have  the utility tower with unknown height, the wire makes an angle 24∘ with ground runs to the…

Q: Find the midpoint of segment AB.

A: See the details solution in below

Q: Find the LINEAR SPEED in feet/second of an object rotating at angular speed 55° per second on a…

A:

Q: When being burned in a writable CD-R drive, the angular speed of a CD varies to keep the linear…

A: We known that ,for a point in uniform circular motion, the relationship between angular speed and…

Q: Find the revolutions per second of a 33 inch diameter wheel on a car traveling exactly 70 miles per…

A: Given: A car traveling with 70 miles per hour. That is, And

Q: A 200-foot weather tower used to measure wind speed has a guy wire attached to it 175 feet above the…

A:

Q: What is a curvilinear relationship? Create 1 inverted and one U shaped and explain your example…

A: Curvilinear relationship can be defined as the relationship between two variables which do not…

Q: A water sprinkler sprays water over a distance of 20 feet while rotating through an angle of 130.…

A:

Q: Find the linear speed v for the tip of the minute hand of a clock, if the hand is 7 cm long

A: Find the linear speed v for the tip of the minute hand of a clock, if the hand is 7 cm long

Q: If a bicycle has 26-inch diameter wheels, the front chain drive has a radius of 4 inches, and the…

A: Given that the diameter of a wheel 26 inch, the front chain drive radius is 4 inches and back drive…

Q: A rider in a road bike race had an average linear speed of 40.756km/hr. The wheel of his bicyle had…

A: Given:

Q: A 150-foot weather tower used to measure wind speed has a guy wire attached to it 125 feet above the…

A: Let the length of guy wire be and feet.

Q: Find the semiperimeter of a triangle.

A: Let a, b and c are side lengths of a triangle. Its perimeter is denoted by s and defined as s=a+b+c.

Q: A wheel with radius 20 cm rolls along the ground, rotating 120 degrees. What distance did the wheel…

A:

Q: What is the distance around the inside of the track?

A:

Q: Find the approximate change in the length of the hypotenuse of a right triangle when its legs change…

A: Approximate change in the length can be found by the differentiation of hypotenuse  apply…

Q: A Ferris Wheel has diameter of 155 feet and one complete revolution takes 10 minutes. Find the…

A:

Q: 1500 pounds

A:

Q: A boy is cycling such that the wheels of the cycle are making 140 revolutions per minute. If the…

A: To find the speed per hour with which the boy is cycling

Q: A water sprinkler head is designed to shoot a stream of water a distance of 42 feet and rotate…

A:

Q: A walk-up ramp runs 20 ft horizontally while rising 4 ft. Use a calculator to approximate its length…

A: Given, Right angle triangle and we have Adjacent side 20ft (say, r) and length 4ft (say, b). To find…

Q: The radius of the wheel on a car is 32 inches. If the wheel is revolving at 454 revolutions per…

A: Radius=32 inches Number of revolutions=454 per minute

Q: An automobile windshield wiper 6 inches long rotates through an angle of 60∘. If the rubber part of…

A: It is given that, only last 5 inches rubber clean the windshield. Wiper rotates by θ=60°.   Area…

Q: Find the distance around the earth at the equator if the radius of Earth is 6,400 kilometers.

A: Given, radius of earth, r=6400 Km distance around the earth at the equator, d = perimeter of the…

Q: The arm of a Ferris wheel starting from the center to its passenger seat has a length of 80 ft. How…

A: Topic - circles

Q: The diameter of a bike wheel is 27 inches. If the wheel makes 15 complete rotations, how far does…

A: Given diameter of wheel = 27 inches So,Radius(r) of wheel= 27/2 inches In 1 complete rotation wheel…

Q: An automobile windshield wiper 10 inches long rotates through an angle of 608. If the rubber part of…

A:

Q: On the baseball diamond, the pitcher's mound is 60 ft, 6 in. from home plate. Bases are 90 ft apart.…

A: Given that: The baseball diamond, the pitcher's mound is 60 ft, 6 in. from home plate. Bases are 90…

Q: If a sprinkler head rotates 180° and has enough pressure to keep a constant 25-foot spray, what is…

A:

Q: the arm of a ferris wheel starting from the center to its passenger seat has a length of 80 ft. how…

A:

Q: The radius of the wheel on a bike is 27 inches. If the wheel is revolving at 144 revolutions per…

A: Given that the radius of wheel is 27 inches.

Q: A large truck traveling on a level surface has a wheel with a diameter of 2 feet. If the wheel makes…

A: Given diameter = 2 feet Rotation = 270° Distance travelled = circumference around 270°

Q: 154

A:

Q: Each tire on a truck has a radius of 18 inches. The tires are rotating at 500 revolutions per…

A:

Q: A screen has a diagonal of 65 inches and a width of 60 inches.  What is the aspect ratio?  Show your…

A:

Q: Pitcher Aroldis Chapman threw a pitch with a recorded velocity of 105 miles per hour. Assuming he…

A:

Q: a lawn sprinkler located at the corner of a yard is set to rotate through 90 degrees and project…

A:

Q: Find the linear speed of the tip of the minute hand of a clock if its length is 12in

A:

Q: Find a linear speed of a tip of minute hand if a length of the minute hand is 7 cm long. Hint: @ =

A:

Q: A circular power saw has a 7 4 -inch diameter blade that rotates at 5000 revolutions per minute.…

A:

Q: an airplane door is 19 feet off the ground and the ramp has a 31 degree angle of elevation. what is…

A: given,

Q: A surveyor measures the lengths of a triangular plot of land as 420 feet, 350 feet and 180 feet.…

A: We sketch the triangle roughly  We have to find C

Power Operation

Power operation is topic of algebra in Math. It is use to represent repeated multiplication. Very big number and very small number can be easily express using power operation. Power operation is useful in many fields. In space engineering, it helps in representing the distance or size of particular heavenly body. In medical field, it is used to represent very small size. In medical field it helps to mention size of bacteria or virus. 

Exponents

The exponent or power or index of a variable/number is the number of times that variable/number is multiplied by itself.