(BSE) MENENTUKAN DIMENSI BESARAN TURUNAN | Fisika SMA Kelas 10

Summary

In this educational video, the instructor explains how to determine the dimensions of derived physical quantities, focusing on three core physical quantities: length, mass, and time. The video covers a range of derived quantities such as speed, acceleration, force, energy, and density, using clear examples and mathematical formulas to calculate their dimensions. The importance of understanding basic physical dimensions and the systematic process to determine the dimensions of more complex quantities is emphasized. The video also highlights common units like MKS and CGS systems and encourages students to practice applying these concepts to different problems.

Takeaways

• 😀 The script focuses on determining the dimensions of derived quantities in physics, specifically for high school students learning in grade 10.
• 😀 Derived quantities are based on fundamental quantities like length, mass, time, temperature, electric current, amount of substance, and luminous intensity.
• 😀 The dimensions of basic quantities are crucial to solving physics problems, and students should ideally memorize them.
• 😀 Length (L), mass (M), and time (T) are frequently encountered in basic physics problems, with their dimensions being [L], [M], and [T], respectively.
• 😀 The script explains how to derive the dimensions of quantities like speed, acceleration, force, and energy using basic dimensions of length, mass, and time.
• 😀 Speed (v) is defined as distance divided by time, and its dimension is [L T^-1], where L represents length and T represents time.
• 😀 Acceleration (a) is the rate of change of velocity over time, and its dimension is [L T^-2].
• 😀 Force (F) is calculated as mass (M) times acceleration (a), resulting in the dimension [M L T^-2].
• 😀 Energy is derived from formulas such as kinetic energy (E_k = 1/2 mv^2), and its dimension is [M L^2 T^-2].
• 😀 The script emphasizes using formulas to find the dimensions, advising students to start with simpler formulas (e.g., kinetic energy formula) to avoid complications.

Q & A

What are the seven fundamental quantities in physics?

The seven fundamental quantities are length (L), mass (M), time (T), temperature, electric current, amount of substance, and luminous intensity.

What is the dimensional formula for length?

The dimensional formula for length is [L].

How do we determine the dimension of a derived physical quantity?

To determine the dimension of a derived quantity, we refer to the dimensions of the fundamental quantities involved in the formula. We then express each term in terms of length (L), mass (M), and time (T), and simplify.

What is the formula for speed, and what is its dimensional formula?

Speed is defined as distance divided by time (v = S/t). Its dimensional formula is [L T^-1], where L is length and T is time.

How is acceleration defined, and what is its dimensional formula?

Acceleration is defined as the change in velocity per unit time (a = Δv/Δt). Its dimensional formula is [L T^-2], where L is length and T is time.

What is the formula for force, and what is its dimensional formula?

Force is defined by Newton's second law as mass times acceleration (F = m * a). Its dimensional formula is [M L T^-2], where M is mass, L is length, and T is time.

What is the dimensional formula for energy, and which formula is used to determine it?

The dimensional formula for energy can be determined using the formula for kinetic energy (Ek = 1/2 mv^2). The dimensional formula is [M L^2 T^-2], where M is mass, L is length, and T is time.

What is the formula for density, and what is its dimensional formula?

Density is defined as mass divided by volume (ρ = m/V). Its dimensional formula is [M L^-3], where M is mass and L is length.

What is impulse, and how is its dimensional formula derived?

Impulse is defined as the force applied over a time interval (I = F * Δt). Its dimensional formula is [M L T^-1], where M is mass, L is length, and T is time.

What is the formula for power, and what is its dimensional formula?

Power is defined as energy divided by time (P = E/t). Its dimensional formula is [M L^2 T^-3], where M is mass, L is length, and T is time.