*. A train is travelling counterclockwise (starting at the 3 o'clock position) on a circular race track with a radius of 20 feet, subtends an angle of 3 radians. What are the horizontal and vertical coordinates of its position (measured in feet) at that moment?

Q: A light truck with manual transmission has a circular brake drum with a diameter of d = 320…

A: Given diameter of d = 320 millimetres  Each brake pad, which presses against the drum, is s = 309…

Q: Find the length of the arc of a circle of diameter 10 meters subtended by a central angle of π5…

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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: Find two positive and two negative angles that are coterminal with the angle given. Theta = pi/6

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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 ________ 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: An object is traveling around a circle with a radius of 4 feet. If in 10 seconds a central angle of…

A: Given radius of circle is 4 feet and a central angle of 1/3 radian is swept in 10 seconds. Hence…

Q: What is the vertical component of the ball's location, after it has spun through an angle of…

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Q: Find the radian measure of the central angle of a circle of radius r =10 inches that intercepts an…

A: To find the radian measurement of the central angle of a circle.

Q: A circular pulley is rotating about its center. Through how many radians does it turn in (a) 8…

A: Given: A circular pulley is rotating about its center. One complete rotation=2π

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

A: Angular velocity is velocity of a body performing circular motion

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 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: 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: 5. Determine two angles between 0° and 360° that have a secant of - 4. Round your answers to the…

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Q: The area of the sector of a circle with radius 8 inches formed by a central angle of 100° is inches.…

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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 15 ft tree casts a 5.3 ft long shadow. What is the angle formed by the sun's rays and the ground?…

A: This can be considered as a right angled triangle of height = 15 ft and base = 5.3 ft  Let sunrays…

Q: Find the length s of the arc of a circle of radius 49 meters subtended by the central angle 1/7…

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Q: Find the angle between 0 radians and 2n radians that is coterminal to the given angle. 2n radians 6.…

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Q: A submarine climbs at an angle of radians (30°) above the horizontal with a heading to the…

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Q: Suppose that you are headed toward a plateau 34 meters high. If the angle of elevation to the top of…

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Q: Find 0 (in radians) for an angle having an arc length of 21 and a radius of 8. 0 = radians Enter

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Q: What is the area of a sector when r = 3 and 0 = 2.75 radians? [ 2 ]

A: NOTE: Refresh your page if you can't see any equations. . here the given angle is  and the given…

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

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Q: At what rate is the angle between a clock's minute and hour hands changing at 7 o'clock in the…

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Q: A rain gutter is to be constructed from a metal sheet ofwidth 30 cm by bending up one-third of the…

A: A rain gutter is to be constructed from a metal sheet ofwidth 30 cm by bending up one-third of the…

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: Find the angle 0 between 0 radians and 2T radians that is coterminal with the angle (a) - radians.…

A: Due to our guidelines we can only answer one question at a time, therefore I will be answering first…

Q: An airplane traveling at 600 mph at a cruising altitude of 6.9 mi begins its descent. If the angle…

A:

Q: Find a positive angle less than 2 pi that is coterminal with 31 pi over 8?

A: To express the given angle in the standard form (between 0 and 2*pi)

Q: A race car is driven around a circular track at a constant speed of 180 mph.  If the diameter of the…

A:

Q: Find the length of the arc of a circle of diameter 8 meters subtended by a central angle of π6…

A: The arc length of the circle having radius r and which subtend angle  θ at the center is given by,…

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: Two cities are approximately 600 miles apart on the surface of the earth. Assuming that the radius…

A: The distance between the two cities on the surface of the earth is 600 miles. The radius of the…

Q: Determine the length of the arc (in radian measure) and the measure of the angle (in radian and…

A: Given: Length starts from point (1,0) to positive x-axis, negative x-axis, positive y-axis, and…

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

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Q: Find the length of the arc of a circle of diameter 8 meters subtended by a central angle of π4…

A: Note that, the arc length of a circle with radius r and subtending and angle θ is given by S=rθ.…

Q: Convert (r, e, z) = (5, -5) to (x, y, z) and (p, 0, ). Angle in radian, up to two decimal places.

A: Given, The cylindrical coordinates are r, θ, z=5, 3π4, -5

Q: Find the cosine of the angle of separation between a = (1, 1, 2) and b = (-2, 1, 5). cos (a) =???…

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Q: Verify that (sinA)² + (cosA)2 =1 for the angle measure. %3D mLA = 45° II II 2) 2.

A: Given  m∠A=45° To verify  sinA2+cosA2=1 The values here will be sin45°=22cos45°=22

Q: 3. A kite is 100m above the ground. If there are 200m of string out, what is the angle (in radians)…

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Q: What is the area of a sector when r = and 0 6 * radians?

A: use the formula for area of sector

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

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Q: Find the value of sect given that 3 , terminal point of tis in sint Quadrant IV

A: Given Data: The value of the sine of angle t is: sint=-35 The value of the cosine of angle t is,…

Q: An object is traveling around a circle with a radius of 8 feet.If in 40 seconds a central angle of…

A: Angular speed , ω =Angle Time  = θT Linear speed, v = ω.r ; where 'r' is radius and 'ω'  is Angular…

Q: Determine the length of the arc in the radian measure and the measure of the angle in radian and…

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