The distance traveled by a point on the circumference of a circle is given by the formula:

Distance = Radius * Angle

In this case, the radius (r) is 20 cm and the angular speed (ω) is π/3 radians per second.

First, we need to find the total angle rotated in 18 seconds.

The total angle (θ) is given by the formula:

θ = ω * t

where t is the time. Substituting the given values:

θ = (π/3 rad/sec) * 18 sec = 6π radians

Now, we can find the distance traveled by point P. Substituting the values into the distance formula:

Distance = r * θ = 20 cm * 6π rad = 120π cm

So, the point P travels a distance of 120π cm in 18 seconds.

Question

The distance traveled by a point on the circumference of a circle is given by the formula:

Distance = Radius * Angle

In this case, the radius (r) is 20 cm and the angular speed (ω) is π/3 radians per second.

First, we need to find the total angle rotated in 18 seconds.

The total angle (θ) is given by the formula:

θ = ω * t

where t is the time. Substituting the given values:

θ = (π/3 rad/sec) * 18 sec = 6π radians

Now, we can find the distance traveled by point P. Substituting the values into the distance formula:

Distance = r * θ = 20 cm * 6π rad = 120π cm

So, the point P travels a distance of 120π cm in 18 seconds.

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