A ball of mass 0.2 kg tied to string and whirled in a chorizontal circle of radius 0.4 m if ball makes 10 complete revolution in 4secs determine linear speed centripetal acceleration and centripetL force??

To find the linear speed, centripetal acceleration, and centripetal force, we can use the following formulas:

Linear Speed:
v = 2πr / t

Centripetal Acceleration:
a = v^2 / r

Centripetal Force:
F = m * a

Given:
Mass of the ball (m) = 0.2 kg
Radius of the circle (r) = 0.4 m
Time taken for 10 complete revolutions (t) = 4 s

Step 1: Calculate the linear speed:
v = 2πr / t
= (2 * 3.1416 * 0.4) / 4
≈ 1.257 m/s

The linear speed of the ball is approximately 1.257 m/s.

Step 2: Calculate the centripetal acceleration:
a = v^2 / r
= (1.257)^2 / 0.4
≈ 3.945 m/s^2

The centripetal acceleration of the ball is approximately 3.945 m/s^2.

Step 3: Calculate the centripetal force:
F = m * a
= 0.2 * 3.945
≈ 0.789 N

The centripetal force acting on the ball is approximately 0.789 N.

To determine the linear speed, centripetal acceleration, and centripetal force of the ball, we can use the following formulas:

1. Linear speed (v):
Linear speed is the distance traveled by an object per unit of time. In this case, the ball makes 10 complete revolutions in 4 seconds. Since the radius of the circle is given as 0.4 m, we can calculate the circumference (2πr) and divide it by the time (4 seconds) to find the linear speed:

Linear speed (v) = (2π * radius) / time

2. Centripetal acceleration (a):
Centripetal acceleration is the rate of change of linear velocity of an object that moves in a circular path. It can be calculated using the following formula:

Centripetal acceleration (a) = (Linear speed (v))^2 / radius

3. Centripetal force (Fc):
Centripetal force is the force required to keep an object moving in a circular path. The centripetal force can be calculated using the following formula:

Centripetal force (Fc) = Mass (m) * Centripetal acceleration (a)

Now let's calculate the values:

1. Linear speed:
Linear speed (v) = (2π * 0.4) / 4 = 0.628 m/s

2. Centripetal acceleration:
Centripetal acceleration (a) = (0.628)^2 / 0.4 = 0.985 m/s^2

3. Centripetal force:
Centripetal force (Fc) = 0.2 * 0.985 = 0.197 N

Thus, the linear speed of the ball is 0.628 m/s, the centripetal acceleration is 0.985 m/s^2, and the centripetal force is 0.197 N.

angular speed: 10*2PI*r/4

given r.

linear speed: angularspeed*r

centripal acceleration: w^2 * r

force: mass*centripetal acceleration