A lawnmower blade has a diameter of 36 inches and spins at a rate of 60 revolutions per minute. What is the linear velocity, in
1 answer:
You can use the circumference of the circle that the blade makes to calculate the linear velocity at the end of the blade.
The linear velocity at the end of the blade is 13571.7 inches per minute
<h3>How to find the linear velocity of the lawnmower blade?</h3>You can think of it as if some circle is being drawn by the end of the blade and then that circle is like wheel of a bicycle and its travelling on road. Each rotation will make it cover distance equal to its circumference. Since there are 60 revolutions of the blade in each minute, thus, 60 rounds of that wheel.
The total distance in 1 minute = 60 times circumference of the circle made by the end of the blade of the lawnmower.
Since the blade is 36 inches long, it can be taken as radius of that circle.
The circumference is thus calculated as
Thus, linear velocity = 226.19 times 60 inches per minute = 13571.7 inches per minute
Thus,
The linear velocity at the end of the blade is 13571.7 inches per minute
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The trigonometric function gives the ratio of different sides of a right-angle triangle. The measure of ∠C is 28°. And the value of b and c is 7.06 and 3.76, respectively.
<h3>What are Trigonometric functions?</h3>The trigonometric function gives the ratio of different sides of a right-angle triangle.
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite the 90° angle.
The sum of all the angles can be written as,
∠A + ∠B + ∠C = 180°
90° + 62° + ∠C = 180°
∠C = 28°
Sin(∠B) = AC/BC
Sin(∠B) = b/8
b = 8 × Sin(62°)
b = 7.06
Cos(∠B) = AB/BC
Cos(∠B) = c/8
c = 8 × Cos(62°)
c = 3.76
Hence, the measure of ∠C is 28°. And the value of b and c is 7.06 and 3.76, respectively.
Learn more about Trigonometric functions:
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