Hi! could you help this problem please try so many time but, the answer is not correct.
Question:The tires on a new compact car have a diameter of 2.0 ft and are warranted for 62,000 miles.
(a) Determine the angle (in radians) through which one of these tires will rotate during the warranty period.
Each revolution moves the car pi*D = 6.283 feet
62000 miles is 327,360,000 feet
The number of revolutions is 5.210*10^7.
The number of radians is 2 pi times that... over 300 million
Of course! I can help you solve this problem. To determine the angle in radians through which one of the tires will rotate during the warranty period, we need to use the following formula:
Angle (in radians) = Distance / Radius
In this case, the distance traveled by the tire during the warranty period is given as 62,000 miles, and we need to find the radius of the tire using its diameter, which is given as 2.0 ft.
To convert the distance from miles to feet, we need to multiply it by the conversion factor 5280 feet per mile.
So, let's calculate the angle in radians:
1. Convert the distance from miles to feet:
Distance = 62,000 miles * 5280 feet per mile = 327,360,000 feet
2. Find the radius using the diameter:
Radius = Diameter / 2 = 2.0 ft / 2 = 1.0 ft
3. Substitute the values into the formula:
Angle (in radians) = Distance / Radius = 327,360,000 feet / 1.0 ft = 327,360,000 radians
Therefore, one of the tires will rotate through an angle of 327,360,000 radians during the warranty period.