decimal plaes section Fint the Rd the Equator fonmed by an angle of Rownd the ns
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decimal plaes section Fint the Rd the Equator fonmed by an angle of Rownd the nswer io no, decima' places ec, ssatening a Lawa A mater sprinkler-preys water over a s bile notacing through an angle of 1s South Pole Diseasace between Louisiana Find the distane Distance betwern Cities Memphis Te 359 north latitude) and New Orlse that the radius of Earth is Memphis ( oth tude Assuume t 102. Distance between Cisies Charleston, West north of Jacksonville. Florida. Find the Charleston (3821north latitude) 2 sorth latitude) Assume that the radius of 3960 msles n Linear Speed on Earth E Earth rotates on an axis asis theoug its poles. The distance from the axis "Designing a water sprinkler An engineer is asked to design a water sprinkler ihat “ia cover a field of t is in the shape of a sector of a rough what angle should the 30r north latitude is about 3429.5 miles Th on Earth at 30 north latitude is spinning Compute the lincar speed on the 100 square yards that Earth at 30 north latitude 104 Linear Speed on Earth Earth rotates on an avi its poles. The distance from the axis to a locatios on F prinkler rotate an axs Motion on a Circle An object is traveling around a circle with a radius of S centimeters If in 20 seconds a central angk 40° north latitude is about 30335 miles Therefore E on Earth at 40° north latitude is spinning on loa on a circke ol tad on the face of of taian is swept out, what is the angular speed of the 3033.5 miles Compute the linear speed on thefa odject? What is its linear speed? Earth at 40 north latitude. 9%. Motion on a Cirdle An object is traveling around a circle with a radius of 2 meters. If in 20 seconds the object travels 5 meters, what is its angular speed? What is its linear speed? c 105 Speed of the Moon The mean distance of the of the moom o Earth is 239 × 10° miles. Assuming that the orbit of moon around Earth is circular and that I revolution lution take press you on this bicycle, through how many revolutions per minute are 106. Speed of Earth The mean distance of Earth from the S 99, Bicycle Wheels The diameter of each wheel of a bicycle is27.3 days, find the linear speed of the moon. Express v 26 inches If you are traveling at a speed of 35 miles per hour answer in miles per hour the wheels turning? is 929 × io' miles. Assuming that the orbit of Earth the Sun is circular and that 1 revolution takes 365 days fo the lincar speed of Earth Express your answer in miles per hour 107. Pulleys Two pulleys one with radius 2 inches and the othe with radius 8 inches, are connected by a belt. (See the figue) If the 2-inch pulley is caused to rotate at 3 revolutions pe minute, determine the revolutions per minute of the pulley Hint: The linear speeds of the pulleys are the same, both equal the speed of the belt. 100. Car Wheels The radius of each wheel of a car is 15 inches If the wheels are turning at the rate of 3 revolutions per second, how fast is the car moving? Express your answer in inches per second and in miles per hourExplanation / Answer
97)
radius = 5cm
in 20 seconds 1/3 radians is swept out
distance travelled in 20 seconds = 5/3 cm
linear speed = 5/3 / 20 = 1/12 cm / sec
angular speed = 1/3 (20) = 1/60 radians / sec
99) diameter = 26 inches
speed= 35 miles / hour
converting miles per hour to inches / min
1 mile / hour = 1056 inches / min
35 miles / hour = 36960 inches / min
radius of wheel = 26/2 = 13 inches
circumference of wheel = 2*pi* 13 = 81.64
therefore , revolutions made = 36960 / 81.64
= 453 revolutions per minute
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