To convert \(5.9 \times 10^{-6} \, \text{cm/ms}^2\) to \(\text{pm/s}^2\), we'll follow these steps:

1. **Convert centimeters (cm) to picometers (pm):**
   - \(1 \, \text{cm} = 10^{10} \, \text{pm}\)
   - So, \(5.9 \times 10^{-6} \, \text{cm} = 5.9 \times 10^{-6} \times 10^{10} \, \text{pm} = 5.9 \times 10^{4} \, \text{pm}\)

2. **Convert milliseconds squared (ms²) to seconds squared (s²):**
   - \(1 \, \text{ms} = 10^{-3} \, \text{s}\), so \(1 \, \text{ms}^2 = 10^{-6} \, \text{s}^2\)

Now combine both conversions:

\[
5.9 \times 10^{-6} \, \text{cm/ms}^2 = 5.9 \times 10^{4} \, \text{pm} / 10^{-6} \, \text{s}^2 = 5.9 \times 10^{10} \, \text{pm/s}^2
\]

Thus, \(5.9 \times 10^{-6} \, \text{cm/ms}^2\) is equal to \(5.9 \times 10^{10} \, \text{pm/s}^2\).

Would you like more details on the conversion steps?

Here are five related questions:
1. How do you convert mm/ms² to nm/s²?
2. What is the significance of converting between units of acceleration?
3. How do powers of ten work in unit conversion?
4. How do you convert units when dealing with velocity instead of acceleration?
5. Can you convert 1 km/h² to m/s²?

**Tip:** Always double-check unit conversions by writing down the relationships between units (like cm to pm, ms² to s²) to avoid errors.

Learn how to convert 5.9*10^-6 cm/ms² to pm/s² with a step-by-step guide. This problem involves unit conversion, scientific notation, and acceleration, perfect for students in Grades 10-12. Follow the key conversion steps for accurate results.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation