A child pedals a tricycle, giving the driving wheel an angular speed of 0.373 rev/s. If the radius of the wheel is 0.260 , what is the child's linear speed?
The circumference of the wheel is 2x3.141x0.26m=1.633m
linear velocity = rev/sxcircumference
0.609m/s
thanks
To find the child's linear speed, we can use the formula:
Linear speed = Angular speed x Radius
First, let's convert the angular speed from revolutions per second (rev/s) to radians per second (rad/s).
1 revolution = 2π radians
So, the angular speed in radians per second is:
0.373 rev/s x 2π rad/rev = 0.373 x 2π rad/s
Next, we can substitute the given values into the formula:
Linear speed = (0.373 x 2π rad/s) x 0.260 m
Now we can evaluate the expression:
Linear speed = 0.77316 m/s
Therefore, the child's linear speed is approximately 0.773 m/s.
To find the child's linear speed, we can use the formula:
Linear speed = Angular speed * Radius
Where:
- Angular speed is given as 0.373 rev/s
- Radius is given as 0.260 meters (m)
Now, let's substitute the known values into the formula:
Linear speed = 0.373 rev/s * 0.260 m
To find the linear speed, we need to convert revolutions to meters. We know that the circumference of a circle is given by the formula:
Circumference = 2 * π * radius
Substituting the radius (0.260 m) into the formula:
Circumference = 2 * π * 0.260 m
To find the linear speed, we need to calculate the distance covered by the wheel in one second. Since the circumference is the distance covered in one revolution, the distance covered in one second is:
Distance = Circumference * Angular speed
Substituting values:
Distance = 2 * π * 0.260 m * 0.373 rev/s
Now, let's calculate the linear speed:
Linear speed = Distance / Time
Since Time is 1 second, we can simplify the equation:
Linear speed = 2 * π * 0.260 m * 0.373 rev/s
Finally, we can calculate the linear speed:
Linear speed ≈ 0.611 m/s
Therefore, the child's linear speed is approximately 0.611 m/s.