find v for the following question..
the tip of the airplane propeller 3m long, rotating 500 times per minute (hint r=1.5m)
V(tip) = 2*pi*R (m/rev)*(500/60 rev/s)
= 78.5 m/s
To find the linear velocity (v) of the tip of the airplane propeller, we can use the formula:
v = 2 * π * r * n
where:
v = linear velocity
π ≈ 3.14159 (pi, a mathematical constant)
r = radius of rotation
n = number of rotations per unit of time
Given:
r = 1.5m
n = 500 rotations per minute
Now, we can substitute these values into the formula:
v = 2 * π * 1.5m * 500 rotations/minute
v ≈ 2 * 3.14159 * 1.5m * 500 rotations/minute
v ≈ 9424.78 m/minute
Therefore, the linear velocity (v) of the tip of the airplane propeller is approximately 9424.78 m/minute.
To find the linear velocity (v) of the tip of the airplane propeller, you need to use the formula:
v = 2πrN
Where:
v is the linear velocity,
r is the radius of the propeller (hint: r = 1.5 m),
N is the number of rotations per minute (hint: N = 500).
Let's plug in the values into the formula:
v = 2π * 1.5 * 500
First, calculate 2π * 1.5:
2π * 1.5 = 2 * 3.14159 * 1.5 ≈ 9.42477
Now, multiply that result by 500:
v ≈ 9.42477 * 500 ≈ 4712.385
Therefore, the linear velocity (v) of the tip of the airplane propeller is approximately 4712.385 m/min.