Answer:
8.75
Step-by-step explanation:
Answer:
54.514 rev/min
Step-by-step explanation:
Data provided in the question:
Speed of the cable car = 12.65 miles per hour
Diameter of the rotating wheel, d = 6.5 feet
Now,
The speed of rotation of the wheel will be equal to the speed of the cable car
thus,
The speed of rotation of the wheel = 12.65 miles per hour
also,
1 miles = 5280 feets
1 hour = 60 minutes
Thus,
The speed of rotation of the wheel = 
= 1113.2 ft/ min
Circumference of the wheel = πd
= 6.5π feet
= 20.42 feet
Therefore,
The speed of rotation of the wheel in revolutions per minute
= 1113.2 ÷ 20.42 rev/min
= 54.514 rev/min
To calculate the length of the diagonal, use the Pythagorean theorem:
c^2 = a^2 + b^2, where c is the diagonal.
c^2 = 65^2 + 34^2
c^2 = 4225 + 1156
c^2 = 5381
c ~ 73.36
To the nearest tenth of a meter, the diagonal has a length of 73.4 m