A tractor weighing 8 tons moves across the bridge at a speed of 36 km / h. Determine the pressure force
A tractor weighing 8 tons moves across the bridge at a speed of 36 km / h. Determine the pressure force of the tractor on the middle of the bridge if the bridge is bulging with a radius of 200m.
To find the value of the pressure force of a moving tractor in the middle of the bridge, we apply the formula: F = Pt = m * (g – a) = m * (g – V ^ 2 / R).
Constants and variables: m is the mass of a moving tractor (m = 8 t = 8 * 10 ^ 3 kg); g – acceleration of gravity (by condition g = 10 m / s2); V is the speed of the tractor on the bridge (V = 36 km / h = 10 m / s); R is the radius of the bridge (R = 200 m).
Calculation: F = m * (g – V ^ 2 / R) = 8 * 10 ^ 3 * (10 – 10 ^ 2/200) = 8 * 10 ^ 3 * 9.5 = 76 * 10 ^ 3 N.
Answer: The force of pressure of the moving tractor on the middle of the bridge is 76 kN.