**Solution:**

To find the tension in the thread, we can use the centripetal force formula:

**Tension (T) = Mass (m) × Centripetal acceleration (a)**

To find the centripetal acceleration, we need to find the velocity of the body first.

**Step 1: Finding the velocity**

The number of cycles per second is given as 10/3.14. Each cycle corresponds to one complete revolution around the circle. Therefore, the number of revolutions per second is 10/3.14.

The formula to calculate the velocity of an object in circular motion is:

**Velocity (v) = 2πr × frequency**

Here, the frequency is the number of revolutions per second, and r is the radius of the circle. In this case, the radius is 1m.

Substituting the given values into the formula, we get:

v = 2π × 1 × (10/3.14) = 20 m/s

So, the velocity of the body is 20 m/s.

**Step 2: Finding the centripetal acceleration**

The centripetal acceleration can be calculated using the formula:

**Centripetal acceleration (a) = (v²) / r**

Substituting the given values into the formula, we get:

a = (20²) / 1 = 400 m/s²

So, the centripetal acceleration is 400 m/s².

**Step 3: Finding the tension in the thread**

Now, we can use the formula for tension:

T = m × a

Substituting the given values into the formula, we get:

T = 1 kg × 400 m/s² = 400 N

Therefore, the tension in the thread is 400 Newtons.

In summary:
- The velocity of the body is 20 m/s, calculated using the formula v = 2πr × frequency.
- The centripetal acceleration is 400 m/s², calculated using the formula a = (v²) / r.
- The tension in the thread is 400 N, calculated using the formula T = m × a.