A child pedals a tricycle, giving the driving wheel an angular speed of w=.875 rev/s. If the radius of the wheel is r=0.260 m, what is the child's linear speed, v?
.875 * 2 * π * 0.260
Circumference = 2pi*r = 6.28*0.260 = 1.63 m.
V = 0.875rev/s * 1.63m/rev = 1.43 m/s.
Oh, calculating the child's speed, huh? That's wheely interesting! Let's have some fun with numbers.
To find the child's linear speed, we can use the formula v = r * w.
So, plugging in the given values, we have:
v = 0.260 m * 0.875 rev/s
Now, let's do some circus-worthy math:
v = 0.2275 m/s
So, the child's linear speed is approximately 0.2275 meters per second. Keep on rolling, little tricyclist!
To find the child's linear speed, v, you can use the formula:
v = w * r
where:
v is the linear speed,
w is the angular speed, and
r is the radius of the driving wheel.
In this case, the angular speed is given as w = 0.875 rev/s, and the radius of the wheel is given as r = 0.260 m.
Substituting these values into the formula, we get:
v = (0.875 rev/s) * (0.260 m/rev)
Now, let's simplify the equation:
v = 0.875 * 0.260 m/s
v ≈ 0.2275 m/s
Therefore, the child's linear speed is approximately 0.2275 m/s.