A machine has velocity ratio 5 and 80% efficient. What effort would be needed to loft a load of 200N with the aid of this machine
To calculate the effort needed to lift a load with the aid of a machine, we can use the formula:
Effort = Load / (Velocity ratio * Efficiency)
Given:
Velocity ratio = 5
Efficiency = 80% = 0.8
Load = 200N
Effort = 200N / (5 * 0.8)
Effort = 200N / 4
Effort = 50N
Therefore, the effort required to lift the load of 200N with the aid of this machine is 50N.
To determine the effort needed to lift a load with the given machine, we need to consider its velocity ratio and efficiency.
The velocity ratio of a machine is defined as the ratio of the distance the effort travels to the distance the load moves. In this case, the velocity ratio is 5. This means that for every 5 units of distance the effort moves, the load will move 1 unit of distance.
The efficiency of a machine measures how effectively it can convert the input energy (effort) into useful work (lifting the load). In this case, the machine is 80% efficient, which means 80% of the input energy is effectively converted into lifting the load, while 20% is wasted as losses (such as friction, heat, etc.).
To calculate the effort needed, we can use the formula:
Effort = (Load / Velocity Ratio) / Efficiency
In this case:
Load = 200N
Velocity Ratio = 5
Efficiency = 80% = 0.8
Plugging in these values into the formula, we get:
Effort = (200 / 5) / 0.8
Effort = 40 / 0.8
Effort = 50N
Therefore, an effort of 50 Newtons would be needed to lift a load of 200 Newtons with the aid of this machine.
To find the effort needed to lift a load with the help of a machine, we can use the formula:
Effort = Load / (Velocity Ratio × Efficiency)
Given:
Velocity Ratio = 5
Efficiency = 80% = 0.8
Load = 200N
Plugging in the values into the formula:
Effort = 200N / (5 × 0.8)
Effort = 200N / 4
Effort = 50N
Therefore, the effort needed to lift a load of 200N with the aid of this machine would be 50N.