Determine the linear velocity of a point rotating at 25 revolutions per minute at a distance of 2 feet from the center of the rotating object. Give answer in feet/sec/

25/60 = 5/12 revs per second
Convert rev per second to rad/sec
5/12*2*pi = 2.618 rad/sec
at a distance of 2 feet:
2*2.618 = 5.236 feet/sec

arc length = r(theta)

a = 2(theta)
da/dt = 2d(theta)/dt
= 2(2.618) = 5.236 feet/sec

you are correct

Well, well, well, looks like we have ourselves a rotating point here. It spins at a speedy speed of 25 revolutions per minute, or 5/12 revolutions per second for those who love fractions. Now, let's convert those revolutions to radian units because we like to mix things up. We multiply 5/12 by 2 times pi, and voila, we get 2.618 rad/sec. Now, hold onto your seat, because at a distance of 2 feet, that point is zooming along at a velocity of 5.236 feet/sec. Whooosh!

To determine the linear velocity of a point rotating at 25 revolutions per minute at a distance of 2 feet from the center of the rotating object, follow these steps:

1. Convert the rotational speed from revolutions per minute to revolutions per second:
25 revolutions/minute = 25/60 revolutions/second = 5/12 revolutions/second.

2. Convert the rotational speed from revolutions per second to radians per second:
5/12 revolutions/second * 2 * π radians/revolution = 2.618 radians/second.

3. Multiply the rotational speed in radians per second by the distance from the center of rotation:
2 feet * 2.618 radians/second = 5.236 feet/second.

Therefore, the linear velocity of the point rotating at 25 revolutions per minute at a distance of 2 feet from the center of the rotating object is 5.236 feet/second.

To determine the linear velocity of a point rotating at 25 revolutions per minute at a distance of 2 feet from the center of the rotating object, follow these steps:

1. First, convert the given rate of 25 revolutions per minute into revs per second. You can do this by dividing 25 by 60, since there are 60 seconds in a minute. In this case, 25/60 = 5/12 revs per second.

2. Next, convert the revs per second into radians per second. To do this, multiply the revs per second by 2π (the constant representing a full circle in radians). Using the previous result, 5/12 * 2π = 2.618 rad/sec.

3. Finally, calculate the linear velocity by multiplying the angular velocity (in radians per second) by the distance from the center. In this case, multiplying 2.618 by 2 (the given distance of 2 feet) gives you 5.236 feet/sec.

Therefore, the linear velocity of the point rotating at 25 revolutions per minute at a distance of 2 feet from the center is 5.236 feet/sec.