A carnival has a Ferris wheel with a diameter of 80 feet. The time for the Ferris wheel to make one revolution is 75 seconds. What is the linear speed in feet per second of a point on the Ferris wheel? What is the angular speed in radians per second?

Q: An object is traveling around a circle with a radius of 5 inches. If in 30 seconds a central angle…

A: Topic:- angular and linear velocity

Q: The earth spins on its axis once every 24 hours and its radius is 3960 miles. Find the angular speed…

A: In 24 hours earth covers 2π radian.So in 1 hour earth covers 2π24=π12 radian.So the angular speed…

Q: An object is traveling around a circle with a radius of 9 inches. If in 10  seconds a central angle…

A: Given:      radius of circle r = 9 inches      time taken t = 10 sec      angular swept out θ = 1/2…

Q: The two pulleys in the figure have radii of 15 cm and 8 cm, respectively. The larger pulley rotates…

A: Given:  R=15 cm , r=8 cm

Q: A car starts off 16 miles directly east from the city of Springfield. It travels due north at a…

A: To evaluate the derivative of the  (required ) angle with respect to time

Q: A neighborhood carnival has a Ferris wheel whose radius is 30 feet. You measure the time it takes…

A: Given, Radius of Ferris wheel = 30 feet Time taken for one revolution = 70 s We have to find the…

Q: An object is traveling around a circle with a radius of 13 meters. If in 10 seconds a central angle…

A: Given,           An object is travelling around a circle with a radius of 13 meters. If in…

Q: If a wheel of radius 6 yards is spinning at 0.3 radians per second then what is its linear speed? 20…

A:

Q: A Ferris wheel is 60 ft in diameter and makes 1 revolution in 90 seconds. Find its angular speed in…

A: Given:

Q: A truck is moving at a rate of 105 kilometers per hour, and the diameter of each of its wheels is 1…

A: A truck is moving at a rate of 105 kilometers per hour, and the diameter of each of its wheels is 1…

Q: A rocket is fired from the ground at some angle and travels in a straight path. When the rocket has…

A:

Q: Express the angular speed in radians per second. 6 revolutions per second

A: Angular speed is 6 revolutions per second.

Q: A truck with 48-in.-diameter wheels is traveling at 45 mi/h. (a) Find the angular speed of the…

A: Diameter,d=48inTherefore, Radius=diameter2=482=24inSpeed, v=45 mi/h

Q: A boat starts off 25 miles directly north from the city of Hartville. It travels due west at a speed…

A: Given:The boat travels 25 miles towards the north from the city.Then it travels 37 miles towards the…

Q: With her arms fully expanded, a baseball player swings her bat. Using her shoulders as the center of…

A:

Q: A woman rides a bicycle for 1 hour and travels 18 kilometers. Find the angular velocity of the wheel…

A: A woman rides a bicycle for 1 hours and travels 18 kilometers. Find the angular velocity of the…

Q: A truck with 38 inch diameter wheels is traveling at 55 mi/h  Find the angular speed of the wheels…

A: Given the diameter of the truck wheel is 38 inch and it is travelling at 55 mi/h.

Q: A weather satellite orbits the earth in a circular orbit 500 miles above the earth’s surface. What…

A:

Q: A Ferris wheel has a radius of 42 feet and travels 5.2 feet every second. At what constant angular…

A:

Q: The shoulder joint can rotate 25 radians per sec. If a golfer's arm is straight and the distance…

A:

Q: An object is traveling around a circle with a radius of 10 m. If in 50 seconds a central angle of…

A:

Q: A 85- horsepower outboard motor at full throttle will rotate its propellor at exactly 4900…

A:

Q: The propeller of a 90-horsepower outboard motor at full throttle rotates at exactly 5000 revolutions…

A:

Q: A truck with 54-in.-diameter wheels is traveling at 45 mi/h. (a) Find the angular speed of the…

A:

Q: An old vinyl record is played on a turntable that turns at a rate of 45 rotations per minute.  Find…

A: Given:- Number of rotations = 45 per minute

Q: An object is traveling around a circle with a radius of 10 centimeters. If in 20 seconds a central…

A:

Q: Thank you!! How about if I want to know the angular speed in radians/sec?

A: Let's find angular speed in radians per seconds.

Q: A woman rides a bicycle for 1 hour and travels 16 kilometers. Find the angular velocity of the wheel…

A: Given: a woman rides a bicycle for 1 hour and travels 16 kilometers, that is,            t=1 hr=3600…

Q: The diameter of each wheel of a bike is 27 inches. If you are traveling at a speed of 27 miles per…

A:

Q: An object is traveling around a circle with a radius of 9 inches. If in 50 seconds a central angle…

A: To determine: The linear and angular speeed of the given object. Given: Radius = 9 inch Time = 50…

Q: (a) Find the angular speed of the saw blade in radians per minute. radians per minute (b) Find the…

A:

Q: 37 What is the angular speed in radians/second associated with a rotating an angle 4 radians in 2…

A: We are asked to find the angular speed.

Q: A car with 16-inch-radius wheels is moving with a speed of 50 miles per hour. Find the angular speed…

A: Given: A car with 16-inch-radius wheels is moving with a speed of 50 miles per hour.

Q: Karina has an antique one-speed bicycle that has two gears connected by a chain. The front gear has…

A: Remarks: (i) . (ii) The linear velocity of two gears connected with a chain have same linear…

Q: June is riding on a circular Ferris wheel that has a radius of 38 feet. After boarding the Ferris…

A: find explain below

Q: An object is traveling around a circle with a radius of 6 centimeters.  If in 20 seconds a central…

A:

Q: Suppose a car runs over a nail while driving at a speed of 65 miles per hour, and the nail is lodged…

A:

Q: A wheel is rotating 5 radians per second, and the wheel has a 71 inch diameter. What is the speed of…

A:

Q: If a wheel of radius 6 yards is spinning with a linear velocity of 3 yards per second then what is…

A:

Q: A ferris wheel has a radius of 22 feet and completes 7 revolutions in 2 minutes. Find the angular…

A: Change in angular rotation in unit time is known as the angular speed. The angular speed is given…

Q: An energy efficient hard drive has a 1.25 inch radiu and spins at 6000 rpm.     Find the angular…

A:

Q: a ferris wheel has a radius of 25 ft. If it takes 30 seconds for the wheel to turn 5pi/6 radians,…

A:

Q: The circular blade on a saw has a radius of 4 in and it rotates at 2400 revolutions per minute find…

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Q: The circular blade on a saw has a radius of 4 in and did rotates at 2400 revolutions per minute find…

A:

Q: A 100-horsepower outboard motor at full throttle will rotate its propeller at exactly 4000…

A:

Q: An object is traveling around a circle with a radius of 12 feet. If in 20 seconds a central angle of…

A:

Q: A truck with 38-in.-diameter wheels is traveling at 50 mi/h. Find the angular speed of the wheels in…

A: So in this we have to follow the standard formula for calculating the angular speed so I'm providing…

Q: Two pulleys connected by a belt have a radii of 26cm and 9cm, respectively. The smaller pulley…

A: The radius of smaller and larger pulleys are r1=9cm and r2=26cm respectively. Let ω1 and ω2 be the…

Q: A 90-horsepower outboard motor at full throttle will rotate its propeller at exactly 4700…

A: Given  revolution per min = 4700

Q: Find the angular speed v for the hour hand of a clock

A: Find the angular speedv of the hour hand of the clock.   Angular speed is the ratio of change in the…