Relate the cylindrical coordinates at a point to the spherical coordinates at the same point.
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Q: Find the length of an arc of a circle with radius 10 m that subtends a central angle of 35°.
A: Given, Radius of the circle, r= 10 m Angle subtended, θ=35o
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- A three-blade wind turbine, which spins perpendicularly to the ground, is set on a pole that is 38 m tall and completes 5 revolutions in one minute. The length of one blade is approximately 4 m long. One particular blade lies parallel to the ground before the turbine started to spin. a) What is the equation that models the height of tip of this blade as a function of time (in seconds)?Algebraic relation. Two particles, A and B, are in uniform circular motion about a common center. The acceleration of particle A is k times that of particle B and the speed of A is 3 times that of B. Find the numerical value of the ratio of their radii, A/B if [] k 9.4 B = 1.4 TA/TB = Please record your numerical answer below, assuming three significant figures.Answer a and c
- Please answer in boldA person sitting on the edge of a 1.5-m radius merry-go-round makes 18 revolutions. How far did they go linearly?A race-car starts at the 3 o’clock position and drives counterclockwise on a circular track with a radius 4 miles. a/ What distance (in miles) has the race-car traveled if the angle swept out by the race-car is: (i). 90◦ (degree)? (ii). 5 radians? b/ What is the angle measure (in radians) swept out if the race-car has traveled 4 miles counterclockwise? c/ What does it mean about the path of the car for the angle measure to be greater than 4π radians? Explain.
- A yoyo of radius R and mass M is released from rest with the string vertical and its top end fixed up a support as shown below. How fast is the center of mass of the yoyo moving when it has fallen a distance of 47 cm. Ignore the mass of the string and express your answer if m/splease do part cHello I needed help with this question.
- H.W: In the Boher model of the hydrogen atom an electron moves at 2.19*10m/s in an orbit of radius 5.29*10" centered on a proton. (a)what is the centripetal force on the electron? (b)what is the number of revolutions made each second? Ans. (a)9.06*10"m/s (b = 6. 58 + 1015 1/s H.W: A ball is thrown with an initial speed voat an angle 0 below the horizontal from rooftop 44m above the ground. It lands 2sec later at a point 32m from the Vor base of the building. Find vo and 0 Ans. 0 = -37.32vo = 20. 1m/s H.W: A ball thrown up from a rooftop of height 40m lands on ground in 4s. (a)what is its maximum height above the ground? (b)what is its velocity 15m below the rooftop? Ans. (a)44.7m (b) v = -19.65 4 H.W: An object is thrown horizontally at 20m/s from a cliff top 45m above sea level. Find (a)the time to land; (b)the angle at which it hits the water; (c)the speed at which it hits the water. Ans. (a)3.03s (b)Ø = -54.73 (c)35.79m/sANSWER QUICK! Ive read the honor code and it says that their a question can have up to 3 subparts (i.e. part a, b, and c). So please answer all questions. A fire hose held near the ground shoots water at a speed of 12.5 m/s. At what angle(s) should the nozzle point in order for the water to land 6.69 m away? What is the lowest angle in radians? What is the larger angle in radians?9