an object of mass 2 kg attached to wire length 5 cm is revolved in a horizontal circle if it makes 60rpm find angular speed

You will need the conversion factor between angular speed (usually in radians/second) and rpm (revolutions per minute).

We know that one revolution equals 2π radians, and one minute equals 60 seconds, so
60 rpm
= 60 * revolutions/minute
= 60 * (revolutions*2πradians/revolution) / (minute * 60 seconds/ minute )
= (60*2π/60) radians/second
= 2π radians/second
after simplifying the numbers and the units.
=

Va = 60rev/min * 6.28rad/rev * 1min/60s =

To find the angular speed, we need to convert the given information regarding the object's circular motion from revolutions per minute (rpm) to radians per second (rad/s).

1. First, convert the angular speed from rpm to revolutions per second (rps).
Since there are 60 seconds in one minute, the conversion factor is 1 rps = 1 rpm / 60.
Thus, in this case, the angular speed is:
angular speed (rps) = 60 rpm / 60 = 1 rps.

2. Next, convert the rotations per second (rps) to radians per second (rad/s).
One revolution is equal to 2π radians.
Therefore, the angular speed in radians per second is given by:
angular speed (rad/s) = 1 rps * 2π = 2π rad/s.

Thus, the angular speed of the object is 2π rad/s.

To find the angular speed of an object, we need to use the formula:

Angular Speed (ω) = 2π * Frequency (f)

Where:
- Angular Speed (ω) is measured in radians per second (rad/s)
- Frequency (f) is measured in hertz (Hz)

In the given problem, we have the object revolving in a horizontal circle with a known frequency of 60 revolutions per minute (rpm). We need to convert this frequency to hertz before finding the angular speed.

Step 1: Convert the frequency from rpm to hertz:
1 revolution = 1 cycle
1 minute = 60 seconds

So, 60 rpm = 60 cycles/minute = 60 cycles/60 seconds = 1 cycle/second = 1 Hz

Now, we have the frequency in hertz, we can proceed to find the angular speed.

Step 2: Calculate the angular speed:
Angular Speed (ω) = 2π * Frequency (f)
Angular Speed (ω) = 2π * 1 Hz
Angular Speed (ω) = 2π rad/s

Therefore, the angular speed of the object is 2π radians per second.