A radius a bicycle with a radius of 32 cm makes 40 revolution in 60 seconds what is it angular velocity what linear distance will the wheel travel

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24-05-2024
Physics

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A radius a bicycle with a radius of 32 cm makes 40 revolution in 60 seconds what is it angular velocity what linear distance will the wheel travel

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clarencearaza98 clarencearaza98 · Answer 1 · 2024-05-24T13:34:45-04:00

Answer:

To find the angular velocity of the bicycle wheel, we can use the formula:

Angular velocity (ω) = Number of revolutions / Time taken = 40 rev / 60 sec = 2/3 rev/sec

Since 1 revolution (1 rev) is equal to 2π radians, we can convert the angular velocity to radians per second:

Angular velocity (ω) = (2/3) rev/sec * 2π rad/rev ≈ 4.19 rad/sec

Now to find the linear distance the wheel will travel in one revolution (circumference of the wheel):

Circumference = 2π * radius = 2π * 32 cm ≈ 201.06 cm

One revolution covers the entire circumference, so the linear distance the wheel will travel in 40 revolutions:

Linear distance = Circumference * Number of revolutions = 201.06 cm/rev * 40 rev ≈ 8042.4 cm

Therefore, the angular velocity of the bicycle wheel is approximately 4.19 rad/sec, and the linear distance the wheel will travel in 40 revolutions in 60 seconds is approximately 8042.4 cm.