A simple wheel and axle is used to lift a bucket of water from a well the radii of the wheel and axle are 20cm and 4cm respectively determine the theoretical effort required to lift a load of 30N assuming no energy losses the efficiency if the actual effort is 10N
20/4 = 5 = ideal mechanical advantage
30 N / 5 = 6 Newtons would do it in ideal world
but we needed 10 N
efficiency=100 *Work out / work in = 600/10 = 60%
VR= 5
E= 6
Efficiency = 50%
To determine the theoretical effort required to lift a load of 30N using a simple wheel and axle, we can use the formula for the mechanical advantage of a wheel and axle system:
Mechanical Advantage (MA) = Radius of Wheel (Rw) / Radius of Axle (Ra)
Given that the radius of the wheel (Rw) is 20cm and the radius of the axle (Ra) is 4cm, we can calculate the mechanical advantage:
MA = Rw / Ra
MA = 20cm / 4cm
MA = 5
The mechanical advantage (MA) represents the ratio of the load force to the effort force. In this case, the load force is 30N, and we need to determine the effort force:
MA = Load Force / Effort Force
5 = 30N / Effort Force
To find the effort force:
Effort Force = Load Force / MA
Effort Force = 30N / 5
Effort Force = 6N
Therefore, the theoretical effort required to lift a load of 30N using this simple wheel and axle system is 6N.
To calculate the efficiency of the system, we can use the formula:
Efficiency = (Actual Mechanical Advantage / Theoretical Mechanical Advantage) * 100
Given that the actual effort is 10N, and the theoretical effort is 6N, we can calculate the actual mechanical advantage (AMA) and the efficiency:
AMA = Load Force / Actual Effort Force
AMA = 30N / 10N
AMA = 3
Efficiency = (AMA / MA) * 100
Efficiency = (3 / 5) * 100
Efficiency = 60%
Therefore, the efficiency of the system is 60%.
To determine the theoretical effort required to lift a load using a simple wheel and axle, we can use the principle of mechanical advantage. The mechanical advantage of a wheel and axle is calculated by dividing the radius of the wheel by the radius of the axle.
In this case, the radius of the wheel is 20 cm and the radius of the axle is 4 cm. Therefore, the mechanical advantage can be calculated as:
Mechanical Advantage = Radius of Wheel / Radius of Axle
= 20 cm / 4 cm
= 5
The mechanical advantage tells us that for every 1 unit of effort applied to the axle, we can lift 5 units of load at the wheel.
Now, using the relation between load, effort, and mechanical advantage, we can determine the theoretical effort required to lift a load of 30N:
Load / Effort = Mechanical Advantage
Plugging in the values, we have:
30N / Effort = 5
To find the effort, we can rearrange the equation:
Effort = Load / Mechanical Advantage
= 30N / 5
= 6N
Therefore, the theoretical effort required to lift a load of 30N is 6N.
To calculate the efficiency, we can use the formula:
Efficiency = (Actual Effort / Theoretical Effort) * 100
Given that the actual effort is 10N, and the theoretical effort is 6N, we can calculate the efficiency:
Efficiency = (10N / 6N) * 100
= 166.67%
Therefore, the efficiency of the system is approximately 166.67%.