The coefficient of friction is 0.75. If sin37°= 0.6, the angle of friction is

Options

A. `18^(@)`
B. `37^(@)`
C. `74^(@)`
D. `53^(@)`

Answer

To find the angle of friction given the coefficient of friction, we can follow these steps:

### Step 1: Understand the relationship between the coefficient of friction and the angle of friction
The angle of friction (α) is related to the coefficient of friction (μ) by the formula:
\[ \mu = \tan(\alpha) \]
This means that to find the angle of friction, we need to take the arctangent (inverse tangent) of the coefficient of friction.

### Step 2: Given values
From the problem, we have:
- Coefficient of friction (μ) = 0.75

### Step 3: Calculate the angle of friction
Using the formula:
\[ \alpha = \tan^{-1}(\mu) \]
Substituting the value of μ:
\[ \alpha = \tan^{-1}(0.75) \]

### Step 4: Use a calculator or trigonometric tables
To find the angle α, we can use a scientific calculator or trigonometric tables.
Calculating:
\[ \alpha \approx 36.87^\circ \]

### Step 5: Conclusion
Thus, the angle of friction is approximately:
\[ \alpha \approx 37^\circ \]

### Summary
The angle of friction is 37 degrees.

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