Question

REAL-WORLD APPLICATIONS 58. A truck with 32-inch diameter wheels is traveling at 59. A bicycle with 24-inch diameter wheels is traveling at 60 mi/h. Find the angular speed of the wheels in 15 mi/h. Find the angular speed of the wheels in rad/ rad/min. How many revolutions per minute do the min. How many revolutions per minute do the wheels wheels make? make? 60. A wheel of radius 8 inches is rotating 15°/s. What is 61. A wheel of radius 14 inches is rotating 0.5 rad/s. What the linear speed v, the angular speed in RPM, and the is the linear speed v, the angular speed in RPM, and the angular speed in rad/s? angular speed in deg/s? 62. A CD has diameter of 120 millimeters. When playing 63. When being burned in a writable CD-R drive, the audio, the angular speed varies to keep the linear angular speed of a CD varies to keep the linear speed speed constant where the disc is being read. When constant where the disc is being written. When writing reading along the outer edge of the disc, the angular along the outer edge of the disc, the angular speed of speed is about 200 RPM (revolutions per minute). one drive is about 4,800 RPM (revolutions per minute). Find the linear speed. Find the linear speed if the CD has diameter of 120 millimeters 64. A person is standing on the equator of Earth (radius 65. Find the distance along an arc on the surface of Earth 3960 miles). What are his linear and angular speeds? that subtends a central angle of 5 minutes (1 minute degree). The radius of Earth is 3,960 mi. 66. Find the distance along an arc on the surface of 67. Consider a clock with an hour hand and minute hand. Earth that subtends a central angle of 7 minutes What is the measure of the angle the minute hand (1 minute degree). The radius of Earth is traces in 20 minutes? 3,960 miles EXTENSIONS 68. Two cities have the same longitude. The latitude of city 69. A city is located at 40 degrees north latitude. Assume A is 9.00 degrees north and the latitude of city Bis 30.00 the radius of the earth is 3960 miles and the earth degree north. Assume the radius of the earth is 3960 rotates once every 24 hours. Find the linear speed of a miles. Find the distance between the two cities. person who resides in this city. 70. A city is located at 75 degrees north latitude. Assume 71. Find the linear speed of the moon if the average the radius of the earth is 3960 miles and the earth distance between the earth and moon is 239,000 miles, rotates once every 24 hours. Find the linear speed of a assuming the orbit of the moon is circular and requires person who resides in this city. about 28 days. Express answer in miles per hour. 72. A bicycle has wheels 28 inches in diameter. A 73. A car travels 3 miles. Its tires make 2640 revolutions tachometer determines that the wheels are rotating at What is the radius of a tire in inches? 180 RPM (revolutions per minute). Find the speed the bicycle is travelling down the road. 74. A wheel on a tractor has a 24-inch diameter. How many revolutions does the wheel make if the tractor travels 4 miles? ות
#49 #74

Answer 1

#49 not given here , so I have solved only #74.

= 24 inch 12 inch 21120ft - 12x21120 74. Dia meter of wheel So, radius of wheel a circumference b= 278 2 215x12 2 2 4 T inch Now, I mile a 5280 ft 4 mile = 4x5280=21120 ft f 1 ft = 12 inch inch a 253440 inch 24 T1 inch a I refolutim. 253440 inch a 253440 24 11 253440x7 그 24 X22 = 3360 So, Total releolution will be 3360