Question

7 июля 1912 года в 2 часа ночи на Олимпийских играх в Стокгольме была впервые проведена шоссейная велогонка на дистанции в 315 км. Трасса гонки проходила вокруг озера Мяларен, и эта дистанция была самой длинной олимпийской дистанцией во все времена и во всех видах спорта. Победителем стал велогонщик из Южной Африки Рудольф Льюис, показавший время 10 ч 42 мин 39 с. Сколько полных оборотов сделало за время гонки переднее колесо велосипеда победителя, если диаметр колеса был 1,27 м? Ответ округли до тысяч.

Answer 1

Ответ:

248050,047

Пошаговое объяснение:

315 км = 315000 м

10 ч 42 м 39 с = 38559 с

315000/38559 = 8,17 м/с - с такой скоростью ехал велогонщик

8,17/1,27 = 6,433 $c^{-1}$ - столько оборотов за секунду делает переднее колесо

6,433*38559 = 248050,047 - столько оборотов сделает переднее колесо за всю гонку

Answer 2

The First Road Cycling Race at the 1912 Olympic Games in Stockholm

On July 7, 1912, at 2:00 am, the first road cycling race was held at the Olympic Games in Stockholm. The race took place on a 315 km route around Lake Mälaren, making it the longest Olympic distance in history across all sports. The winner of the race was Rudolph Lewis, a cyclist from South Africa, who completed the race in a time of 10 hours, 42 minutes, and 39 seconds [[1]].

Calculating the Number of Complete Wheel Revolutions

To calculate the number of complete wheel revolutions made by the front wheel of the winner's bicycle during the race, we need to know the circumference of the wheel. The circumference of a circle can be calculated using the formula:

Circumference = 2 * π * radius

Given that the diameter of the wheel is 1.27 meters, we can calculate the radius by dividing the diameter by 2:

Radius = 1.27 m / 2 = 0.635 m

Now, we can calculate the circumference of the wheel:

Circumference = 2 * π * 0.635 m

Using the value of π as approximately 3.14159, we can calculate the circumference:

Circumference ≈ 2 * 3.14159 * 0.635 m ≈ 3.999 m

Since the circumference of the wheel is approximately 3.999 meters, we can calculate the number of complete wheel revolutions by dividing the total distance of the race (315 km) by the circumference of the wheel:

Number of Wheel Revolutions = (315,000 m) / (3.999 m)

Calculating this value gives us:

Number of Wheel Revolutions ≈ 78,697.174

Rounding this value to the nearest thousand, we get:

Number of Wheel Revolutions ≈ 78,000

Therefore, the front wheel of the winner's bicycle made approximately 78,000 complete revolutions during the race.

Please note that the above calculation assumes that the front wheel of the bicycle maintained constant contact with the ground throughout the race and did not experience any slippage or skidding.