We appreciate your visit to How much weight of a 115 kg man is pressing onto the plane of an incline which is at 71 2 degrees Round to the. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To determine how much weight of the 115 kg man is pressing onto the plane of an incline at an angle of 71.2 degrees, we can follow these steps:
1. Understand the Problem:
- We have a man with a total weight of 115 kg.
- The incline angle is 71.2 degrees.
- We are asked to find out how much of this weight is acting perpendicular to the inclined plane.
2. Concepts to Use:
- We need to consider the force of gravity acting on the man and how it splits into components relative to the incline.
- The component of the weight that presses onto the plane (perpendicular component) can be calculated using trigonometry.
3. Calculating the Perpendicular Component:
- The gravitational force (weight) is calculated as `mass * gravitational acceleration`. Here, gravitational acceleration is approximately [tex]\(9.81 \, \text{m/s}^2\)[/tex].
- The part of the weight pressing directly onto the incline is found using the cosine of the incline angle since we're interested in the perpendicular component.
4. Apply the Formula:
- The formula to calculate this perpendicular force is:
[tex]\[
\text{Weight on plane} = \text{Total weight} \times g \times \cos(\text{Incline angle})
\][/tex]
where:
- Total weight = 115 kg
- [tex]\( g = 9.81 \, \text{m/s}^2 \)[/tex] (standard gravitational acceleration)
- Incline angle = 71.2 degrees
5. Perform the Calculation:
- Convert the incline angle from degrees to radians for accurate calculations in trigonometric functions.
- Use the trigonometric function to find the cosine of the angle.
- Multiply this by the total gravitational force (which is weight when mass is multiplied by gravity).
6. Result:
- After performing the calculation, the weight pressing onto the inclined plane is determined to be approximately [tex]\(363.6 \, \text{N}\)[/tex] (after rounding to the first decimal place).
This concludes the calculation, and the weight pressing onto the inclined plane is [tex]\(363.6 \, \text{N}\)[/tex].
1. Understand the Problem:
- We have a man with a total weight of 115 kg.
- The incline angle is 71.2 degrees.
- We are asked to find out how much of this weight is acting perpendicular to the inclined plane.
2. Concepts to Use:
- We need to consider the force of gravity acting on the man and how it splits into components relative to the incline.
- The component of the weight that presses onto the plane (perpendicular component) can be calculated using trigonometry.
3. Calculating the Perpendicular Component:
- The gravitational force (weight) is calculated as `mass * gravitational acceleration`. Here, gravitational acceleration is approximately [tex]\(9.81 \, \text{m/s}^2\)[/tex].
- The part of the weight pressing directly onto the incline is found using the cosine of the incline angle since we're interested in the perpendicular component.
4. Apply the Formula:
- The formula to calculate this perpendicular force is:
[tex]\[
\text{Weight on plane} = \text{Total weight} \times g \times \cos(\text{Incline angle})
\][/tex]
where:
- Total weight = 115 kg
- [tex]\( g = 9.81 \, \text{m/s}^2 \)[/tex] (standard gravitational acceleration)
- Incline angle = 71.2 degrees
5. Perform the Calculation:
- Convert the incline angle from degrees to radians for accurate calculations in trigonometric functions.
- Use the trigonometric function to find the cosine of the angle.
- Multiply this by the total gravitational force (which is weight when mass is multiplied by gravity).
6. Result:
- After performing the calculation, the weight pressing onto the inclined plane is determined to be approximately [tex]\(363.6 \, \text{N}\)[/tex] (after rounding to the first decimal place).
This concludes the calculation, and the weight pressing onto the inclined plane is [tex]\(363.6 \, \text{N}\)[/tex].
Thanks for taking the time to read How much weight of a 115 kg man is pressing onto the plane of an incline which is at 71 2 degrees Round to the. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
