4. Tensions are 2000 N and 900 N in a belt drive. The diameter of the driver pulley is $$ 0,44 \mathrm{~m} $$ and its rotational frequency is $$ 800 \mathrm{r} / \mathrm{min} $$. Calculate: a) The effective tension. b) The torque of the driver pulley. c) The work done during one revolution. d) The output power of the pulley after 45 s .

Question

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To solve the problem related to the belt drive, let's break down each part step by step.

**Given:**
- Tensions in the belt: $$ T_1 = 2000 \, \text{N} $$ and $$ T_2 = 900 \, \text{N} $$
- Diameter of the driver pulley: $$ D = 0.44 \, \text{m} $$ (so the radius $$ R = \frac{D}{2} = 0.22 \, \text{m} $$)
- Rotational frequency: $$ n = 800 \, \text{rev/min} $$

### **Problem a: Calculate the Effective Tension**

**Effective Tension ($$ T_{\text{eff}} $$)** is a measure of the net force exerted by the belt on the pulley. It is calculated as the difference between the tight side $$ (T_1) $$ and the slack side $$ (T_2) $$ tensions.

$$
T_{\text{eff}} = T_1 - T_2
$$

Plugging in the given values:

$$
T_{\text{eff}} = 2000 \, \text{N} - 900 \, \text{N} = 1100 \, \text{N}
$$

**Answer:**
a) The effective tension is 1100 N.
a) The effective tension is 1100 N.

Tensions are 2000 N and 900 N in a belt drive. The diameter of the driver pulley is
and its rotational frequency is . Calculate:
a) The effective tension.
b) The torque of the driver pulley.
c) The work done during one revolution.
d) The output power of the pulley after 45 s .

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Bonus Knowledge

a) Effective Tension

b) Torque of the Driver Pulley

c) Work Done During One Revolution

d) Output Power After 45 Seconds

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Tensions are 2000 N and 900 N in a belt drive. The diameter of the driver pulley is and its rotational frequency is . Calculate: a) The effective tension. b) The torque of the driver pulley. c) The work done during one revolution. d) The output power of the pulley after 45 s .