The speedometer on your car is broken. However you notice that the wheels of your car are rotating at 675 rpm (that reading is not broken on your car). Being a number geek, you know that the radius of your tires is 12 inches = 30 cm. Calculate the speed of the car (this is the same as the velocity of the tire rims).
Please show all math steps. Thanks!
The speedometer on your car is broken. However you notice that the wheels of your car...
While rotating the tires on your car you notice a rock [mass = 0.1 Kg] stuck in one. You learn online that the rock and the tire have a μ=0.6 between them and a maximum normal force equal to 140 times the rocks weight, and you find that your tire has a diameter of 24 inches. You turn on your car, put it in first gear, and start pushing the accelerator. At what “speed” on your speedometer does the rock...
The speedometer readings in passenger cars are based on angular speed of the car's tire axle. Because car's tires are filled with air [typically to the pressure of about 30 psi (pounds-square-inch)], the actual tire radius can be a bit different depending on the air temperature. You want to understand the impact of the air temperature on the tire radius and thus on the accuracy of the speedometer reading based on the ideal gas law. To simplify the calculation, you...
The tires of correct size according to the manual are 26 inches in diameter. However, you have temporarily installed tires on the car that are 27.5 inches in diameter. What will be the error percentage in your speedometer readings caused by using these tires?
As you approached the I-74 exit in your uncle's little red sports car convertible you happened to notice a cat crossing the road. Not that you have any particular love of cats (especially this one whose snooty disposition seems to beckon for a game of chicken) you swerve out of the way spilling scalding hot coffee all over your new summer duds. Unknown to you at the time, the auto mechanic, having had an uneventful social life and being consequently...
#49 #74
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...
A friend asks you how much pressure is in your car tires. You know that the tire manufacturer recommends 35 psi , but it's been a while since you've checked. You can't find a tire gauge in the car, but you do find the owner's manual and a ruler. Fortunately, you've just finished taking physics, so you tell your friend, "I don't know, but I can figure it out." From the owner's manual you find that the car's mass is...
Your car tire is rotating at 3.4 rev/s when suddenly you press
down hard on the accelerator. After traveling 240 m, the tire's
rotation has increased to 6.6 rev/s. The radius of the tire is 32
cm.
What was the tire's angular acceleration? Give your answer in
rad/s^2.
Express the answer using two significant digits.
The answer I got is, approximately, 0.013405, but, apparently,
it's wrong.
Problem 4.67 Your car tire is rotating at 3.4 rev/s when suddenly you press...
You have just had a new set of tires put on your car, and now the mechanic has to balance the wheels. For one of the wheels, the center of mass once the tire is installed is located 1.0 mm from the center of the axle. The mechanic corrects for this by crimping a small lead bar on the wheel rim 200 mm away from the axle. With this added inertia, the center of mass is at the center of...
A friend asks you how much pressure is in your car tires. Unfortunately, you have misplaced your gauge but confident in your knowledge of physics you tell your friend “I can figure it out”. From the owner’s manual you find that the car’s mass is 1500 kg and that the tire manufacturer recommends 31 psi. Assuming that each tire supports one-fourth of the weight of the car, you use a ruler to find that the tires are 15 cm wide...
Your car tire is rotating at 3.8 rev/s when suddenly you press down hard on the accelerator. After traveling 260 m the tire's rotation has increased to 5.6 rev/s. The radius of the tire is 32 cm. What was the tire's angular acceleration? Give your answer in rad/s Express your answer using two significant figures rad/s2