5. A neighbourhood carnival has a Ferris wheel whose radius is 40 feet. You measure the time it takes for one revolution to 85 seconds. What is the angular speed in radians per second?

Q: Find the angular velocity, in radians per minute, associated with the given revolutions per minute…

A: we have to find the angular velocity in radian per minute

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

A: Given:

Q: A kite 100ft above the ground moves horizontally at a speed of 6ft/s. At what rate is the angle…

A: Explanation of the answer is as follows

Q: A kite 100ft above the ground moves horizontally at a speed of 6ft/s. At what rate is the angle…

A: Given that: Height of kite, h=100 ftHorizontal speed of kite = 6ft/s

Q: While sitting in class doing homework, Mr. T decides to take his pen and spin it around. The length…

A: Solve for angular velocity

Q: A wheel with a diameter of 31 meters is moving forward at 112.1 meters per second. How fast is the…

A:

Q: A kite 50ft above the ground moves horizontally at a speed of 6ft/s. At what rate is the angle…

A: First I have drawn the diagram of the given situation and then using them solved the problem and…

Q: 9) The minute hand of a clock is 2.7 centimeters long. To two significant digits, how far does the…

A: Given : length of minute hand = 2.7 cm  It moves through 15 minutes . To calculate the distance…

Q: cos(?), sin(?); ? in Quadrant III

A: in the 3rd quadrant sin and cos will be negative

Q: 5 is a point in Quadrant II lying on the unit circle. Suppose that x, 13 Find x. Write the exact…

A: As this point lies on unit circle. So put this point in equation of unit circle and get required…

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

A:

Q: A 25-inch-long pendulum swings through an angle of radians.

A: The formula one have to use here is s=rθ where r is the length of the pendulum and θ is the angle in…

Q: 3. A. Through how many radians does the minute hand of a clock sweep between 9:05 pm and 9:30 pm?

A:

Q: ((-) arccos 21

A:

Q: 16 15

A:

Q: A 10-ft ladder rests against a wall at π/4 radians. If it were to begin to slip, when the bottom of…

A:

Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

A:

Q: Consider the triangle shown below. If Ø increases at a constant rate of 3 radians per minute, at…

A:

Q: In AHIJ, the measure of ZJ=90°, IH = 65, HJ = 56, and JI = 33. What is the value of the sine of ZI…

A:

Q: A kite 100ft above the ground moves horizontally at a speed of 8ft/s. At what rate is the angle…

A: Given Kite flies at the height of 100ft  horizontal speed of kite is 8ft/s To find the rate of angle…

Q: A bicycle with 28 inch diameter wheels is moving at a steady speed. If the wheels are turning at…

A:

Q: Without using a calculator, find the exact value TE of sinif cos = 3,0 ≤ 0 <

A:

Q: 4. A wheel is rotating at 50 revolutions per min. Find angular speed in rad/sec

A: As per our company guidelines we are supposed to answer ?️only one question. Kindly repost other…

Q: Use a calculator to find the approximate value of: (a) cos 48° (b) csc 21° (c)tan π /12 Express your…

A: Given-  a cos 48°b csc 21°c tan π12 To Find-  The value of the above trigonometric expression using…

Q: 3. How many radians are in half of a circle?

A:

Q: A point on a wheel moves at 27x radians per minute. 5 How many seconds are required for the point to…

A: Given problem:- A point on a wheel moves at 27% 5 radians per minute.   How many seconds are…

Q: cot 180° cos 270⁰ sec 60°

A:

Q: In AUVW, the measure of ZW=90°, UW = 60, VU = 61, and WV = 11. What is the value of the sine of ZU…

A: Trigonometric ratio , sin (angle ) = Opposite / hypotenuse .

Q: A pendulum in a grandfather clock is 6 feet long and swings back and forth along a 8-inch arc.…

A: Let us assume a circle with a radius equal to the pendulum, which is 6 feet long.Thus, the…

Q: A truck with 48-in.-diameter wheels is traveling at 50 mi/h.(a) Find the angular speed of the wheels…

A:

Q: 3. arccos

A: We have given expression arccos-32

Q: The restaurant at the top of a very tall building in Seattle rotates 1.01 revolutions every 20.6…

A: (a1) Use 1 revolution is 2π rad So, 2π*1.01/60=0.1057 rad/minuteSo, 113*0.1057 = 11.95 rad

Q: 3. Find the exact value without using a calculator. a) cot (sin- (e))

A:

Q: A flywheel with a diameter of 14 cm is rotating at a rate of 9 radians per second. What is the…

A: r= radius

Q: A wheel rotates at the rate of 25 revolutions per minute. How many radians per minute does it…

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: Convert the given (negative) angle into a radian measure. First, give the exact value in radians, as…

A:

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

A:

Q: Suppose 0(t) measures the minimum angle between a clock's minute and hour hands in radians. What is…

A: A minute hand completes one revolution in 60 min. This means a minute hand completes 2π in 60 min.…

Q: Explain why a circle of radius 4 cm and a circle of radius 13 m have the same number of radians?

A:

Q: What is the distance of AC to the nearest meter?

A: Given that: A triangle ABC such that ∠A=85°,∠B=65° and AB=400m

Q: Express the following angular speed in radians per second. 13 revolutions per second

A: To determine: 13 revolutions per second into radians per second.

Q: 43л 4) 18

A:

Q: A truck with 48-in.-diameter wheels is traveling at 50 mi/h. (a) Find the angular speed of the…

A:

Q: Find the angular velocity, in radians per minute, associated with the given revolutions per minute…

A:

Q: Find the angular velocity, in radians per minute, associated with the given revolutions per minute…

A:

Q: Find the angular velocity, in radians per minute, associated with the given revolutions per minute…

A: Given,           4413 rpm

Q: (b) Calculate sin(arccos()) exactly, i.e. without using a calculator.

A: