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Exemplo 11 de Algebra and Trigonometry, 7.1 Angles
Problema e solução em inglês, como no livro original.
A bicycle has wheels 28 inches in diameter. A tachometer determines the wheels are rotating at 180 RPM (revolutions per minute). Find the speed the bicycle is traveling down the road.
Resolva no papel primeiro. Depois abra a solução um passo de cada vez e pare assim que conseguir terminar sozinho.
Here, we have an angular speed and need to find the corresponding linear speed, since the linear speed of the outside of the tires is the speed at which the bicycle travels down the road.
We begin by converting from rotations per minute to radians per minute. It can be helpful to utilize the units to make this conversion:
Using the formula from above along with the radius of the wheels, we can find the linear speed:
Remember that radians are a unitless measure, so it is not necessary to include them.
Finally, we may wish to convert this linear speed into a more familiar measurement, like miles per hour.
O Try It do livro logo depois deste exemplo: mesma ideia, outros números. Só a resposta é dada.
A satellite is rotating around Earth at 0.25 radian per hour at an altitude of 242 km above Earth. If the radius of Earth is 6378 kilometers, find the linear speed of the satellite in kilometers per hour.
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