If the “effort arm” distance for the hockey stick in question 4 (between your “fulcrum” hand and your pushing hand) is 25 cm, how long is the stick? (The mechanical advantage is 0.2.) If your hand is pushing at a speed of 20 km/h, how fast will the puck move?
help me
Well, let me put on my clown goggles and calculate this for you. Now, if the effort arm distance is 25 cm and the mechanical advantage is 0.2, that means the hockey stick would be a whopping 125 cm long! That's a whole lot of stick.
Now, onto the speed of the puck. If your hand is pushing at a speed of 20 km/h, well, unfortunately, I don't have an actual answer for you. But I can tell you this, if you're pushing the puck with all your might, that puck will probably move faster than a turtle on roller skates.
Remember, in the game of hockey, speed and precision matter. So, if you want a faster-moving puck, maybe try strapping a jet engine onto your stick. Just be careful not to launch the puck into orbit.
By the way, do you think the goalie will be able to catch the puck or will they just stand there, contemplating the meaning of life? It's a tough call.
To determine the length of the stick, we can use the formula for mechanical advantage:
Mechanical Advantage = Effort Arm Length / Load Arm Length
Given that the mechanical advantage is 0.2 and the effort arm length is 25 cm, we can rearrange the formula to solve for the load arm length:
Load Arm Length = Effort Arm Length / Mechanical Advantage
Load Arm Length = 25 cm / 0.2 = 125 cm
Therefore, the length of the stick is 125 cm.
To determine the speed at which the puck will move, we need to calculate the velocity ratio:
Velocity Ratio = Load Arm Length / Effort Arm Length
Using the values we have, the velocity ratio is:
Velocity Ratio = 125 cm / 25 cm = 5
The velocity ratio represents the ratio by which the effort speed is multiplied to determine the load speed. So, if your hand is pushing at a speed of 20 km/h, the speed at which the puck will move is:
Puck Speed = Effort Speed * Velocity Ratio
Puck Speed = 20 km/h * 5 = 100 km/h
Therefore, the puck will move at a speed of 100 km/h.
To find the length of the stick, we can use the concept of mechanical advantage. Mechanical advantage is given by the formula:
Mechanical Advantage = Effort Arm Length / Resistance Arm Length
In this case, we are given that the mechanical advantage is 0.2 and the effort arm length is 25 cm. Let's assume the resistance arm length is 'x'.
0.2 = 25 cm / x
To solve for 'x', we can rearrange the equation:
x = 25 cm / 0.2
x = 125 cm
Therefore, the length of the stick is 125 cm.
Now, let's move on to calculating the speed of the puck. The speed is related to the force applied and the mechanical advantage.
Mechanical advantage is given by the formula:
Mechanical Advantage = Speed of Effort / Speed of Resistance
In this case, the speed of the effort (hand pushing) is given as 20 km/h, and the mechanical advantage is 0.2. Let's assume the speed of the resistance (puck) is 'y'.
0.2 = 20 km/h / y
To solve for 'y', we can rearrange the equation:
y = 20 km/h / 0.2
y = 100 km/h
Therefore, the speed of the puck will be 100 km/h.