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18 January, 21:47

A 68.8 kg man sits in a 5.0 kg chair so that his weight is evenly distributed on the legs of the chair. Assume that each leg makes contact with the floor over a circular area with a radius of 0.94 cm. What is the pressure exerted on the floor by each leg

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  1. 18 January, 22:16
    0
    P = 651353.67 Pa

    Explanation:

    The mass of the man = 68.8 kg

    Mass of the chair = 5 kg

    Total mass = 68.8 + 5 = 73.5 kg

    Since both the chair and the man have 2 legs each, the total number of legs = 4

    The force applied by each of the legs, F = ma

    F = (73.5) * 9.8/4

    F = 180.81 N

    The pressure exerted by each of the legs, P = F/A

    Radius, r = 0.94 cm = 0.0094 m

    Area, A = πr²

    A = π (0.0094) ²

    A = 0.000278 m²

    P = 180.81/0.000278

    P = 651353.67 Pa
  2. 19 January, 00:03
    0
    Pressure in N/cm² = 66.46 N/cm²

    Explanation:

    Total weight of the man and the chair is 68.8 + 5 = 73.8 kg

    But the weight is evenly distributed to the legs of the chair with four legs.

    Each tension or load on a leg of the chair is 73.8/4 = 18.45 kg

    The load on each chair is 18.45*10 = 184.5 N.

    Pressure = load/area

    Area = πr²

    area = π*0.94²

    Area = 2.776 cm²

    pressure = load / area

    Pressure = 184.5/2.776

    Pressure = 66.46 N/cm²
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